Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Factorize:
3x – 9
The greatest common factor of the terms 3x and -9 of the expression 3x – 9 is 3.
Now,
3x = 3x and – 9 = 3(-3)
Hence, the expression 3x – 9 can be factorised as 3(x – 3).
5x – 15x2
The greatest common factor of the terms 5x and 15x2 of the expression 5x – 15x2 is 5x.
5x = 5x. (1) and -15x2 = 5x.(-3x)
Hence, the expression 5x – 15x2 can be factorised as 5x (1 – 3x)
20a12b2 - 15a8b4
The greatest common factor of the terms
20a12b2 and -15a8b4 of the expression 20a12b2 – 15a8b4 is 5a8b2.
20a12b2 = 5x4xa8xa4xb2 = 5a8xb2x4a4 and -15a8xb4 = 5x(-3)xa8xb2xb2 = 5a8b2 x(-3)b2
Hence, the expression 20a12b2 – 15a8b4 can be factorised as 5a8b2(4a4 – 3b2)
72x6y7 – 96x7y6
The greatest common factor of the terms 72x6y7 and -96x7y6 of the expression 72x6y7- 96x7y64 is 24x6y6
72x6y7= 24x6y6. 3y
And, – 96x7y64 is 24x6y6. – 4x
Hence, the expression 72x6y7 -96x7y6 can be factorised as 24x6y6. (3y – 4x).
20x3 – 40x2 + 80x
The greatest common factor of the terms 20x3, -40x2 and 80x of the expression 20x3 – 40x2 +80x is 20x.
Now, 20x3 = 20x. x2
- 40x2 = 20x. -2x And, 80x = 20x. 4
Hence, the expression 20x3 – 40x2 + 80x can be factorised as 20x(x2 – 2x + 4)
2x3y2 – 4x2y3 + 8xy4
The greatest common factor of the terms 2x3y2, -4x2y3 and 8xy4 of the expression
2x3y2 -4x2y3 + 8xy4 is 2xy2.
2x3y2 = 2xy2. x2
- 4x2y3 = 2xy2. (-2xy)
8xy4 = 2xy2. 4y2
Hence, the expression 2x3y2 - 4x2y3 + 8xy4 can be factorised as 2xy2(x2 – 2xy + 4y2)
10m3n2 + 15m4n – 20m2n3
The greatest common factor of the terms 103n2, 15m4n and -20m2n3 of the expression
10m3n2 + 15m4n – 20m2n3 is 5m2n.
10m3n2 = 5m2n. 2mn
15m4n = 5m2n. 3m2
-20m2n3 = 5m2n. - 4n2
Hence, 10m3n2 + 15m2n – 20m2n3 can be factorised as 5m2n(2mn + 3m2 – 4n2)
2a4b4 – 3a3b5 + 4a2b5
The greatest common factor of the terms 2a4b4, -3a3b5 and 4a2b5 of the expression
2a4b4 – 3a3b5 + 4a2b5 is a2b5.
2a4b4 = a2b5. 2a2
-3a3b5 = a2b4. (-3ab)
4a2b5 = a2b4. 4b
Hence, 2a4b4- 3a3b5 + 4a2b5 can be factorised as a2b4(2a2 – 3ab + 4b)
28a2 + 14a2b2 – 21a4
The greatest common factor of the terms28a2, 14a2b2 and 21a4 of the expression
28a2 + 14a2b2 – 21a4 is 7a2.
Also, we can write 28a2 = 7a2. 4, 14a2b2 = 7a2. 2b2 and 21a4 = 7a2. 3a2.
Therefore, 28a2 + 14a2b2 – 21a4 = 7a2. 4 + 7a2. 2b2 – 7a2. 3a2
= 7a2 (4 + 2b2 – 3a2)
a4b – 3a2b2 – 6ab3
The greatest common factor of the terms a4b, 3a2b2 and 6ab3 of the expression
a4b – 3a2b2 – 6ab3 is ab.
Also, we can write a4b = ab. a3, 3a2b2 = ab. 3ab and 6ab3 = ab. 6b2.
Therefore, a4b – 3a2b2 – 6ab3 = ab. a3 – ab. 3ab – ab. 6b2.
= ab (a3 – 3ab – 6b2)
2L2mn – 3Lm2n + 4Lmn2
The greatest common factor of the terms 2L2mn, 3Lm2n and 4Lmn2 of the expression
2L2mn – 3Lm2n + 4Lmn2 is Lmn.
Also, we can write 2L2mn = Lmn. 2L, 3Lm2n = Lmn. 3m and 4Lmn2 = Lmn. 4n
Therefore, 2L2mn - 3Lm2n + 4Lmn2 = (Lmn. 2L) – (Lmn. 3m) + (Lmn. 4n)
= Lmn(2L – 3m + 4n)
x4y2 – x2y4 – x4y4
The greatest common factor of the terms x4y2, x2y4 and x4y4 of the expressinon
x4y2 – x2y4 – x4y4 is x2y2
Also, we can write x4y2 = (x2y2 . x2) , x2y4 = (x2y2 . y2) and x4y4 = (x2y2 . x2y2)
Therefore, x4y2 – x2y4– x4y4 = (x2y2. x2) – (x2y2. y2) – (x2y2. x2y2)
= x2y2 (x2 – y2 – x2y2)
9x2y + 3axy
The greatest common factor of the terms 9x2y and 3axy of the expression 9x2y + 3axy is 3xy.
Also, we can write 9x2y = 3xy. 3x and 3axy = 3xy.a
Therefore, 9x2y + 3axy = (3xy. 3x) + (3xy. a)
= 3xy (3x + a)
16m – 4m2
The greatest common factor of the terms 16m and 4m2 of the expression 16m – 4m2 is 4m.
Also, we can write 16m = 4m. 4 and 4m2 = 4m. m
Therefore, 16m – 4m2 = (4m. 4) – (4m. m)
= 4m(4 – m)
-4a2 + 4ab – 4ca
The greatest common factor of the terms - 4a2, 4ab and -4ca of the expression
-4a2 + 4ab – 4ca is -4a.
Also, we can write -4a2 = (-4a. a), 4ab = -4a. (-b), and 4ca = (- 4a. c)
Therefore, -4a2 + 4ab – 4ca = (- 4a. a) + (- 4a. (-b)) – (4a. c)
= - 4a (a – b + c)
x2yz + xy2z + xyz2
The greatest common factor of the terms x2yz, xy2z and xyz2 of the expression
x2yz + xy2z + xyz2 is xyz.
Also, we can write x2yz = (xyz. x), (xy2z = xyz. y), xyz2 = (xyz. z)
Therefore, x2yz + xy2z + xyz2 = (xyz. x) + (xyz. y) + (xyz. z)
= xyz(x + y + z)
ax2y + bxy2 + cxyz
The greatest common factor of the terms ax2y, bxy2 and cxyz of the expression
ax2y + bxy2 + cxyz is xy.
Also, we can write ax2y = (xy. ax), bxy2 = (xy. by), cxyz = (xy. cz)
Therefore, ax2y + bxy2 + cxyz = (xy. ax) + (xy. by) + (xy. cz)
= xy (ax + by + cz)
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Chapter 7: Factorization Exercise – 7.1...
Chapter 7: Factorization Exercise – 7.8...
Chapter 7: Factorization Exercise – 7.9...
Chapter 7: Factorization Exercise – 7.6...
Chapter 7: Factorization Exercise – 7.3...
Chapter 7: Factorization Exercise – 7.7...
Chapter 7: Factorization Exercise – 7.4...
Chapter 7: Factorization Exercise – 7.5...