FACTORIZE- 1) (a+b)3 - 8 2) 2a3 + 16b3 - 5a - 10b 3) 8a3 - b3 - 4ax + - Maths - Polynomials

Question

FACTORIZE-
1) (a+b)3 - 8
2) 2a3 + 16b3 - 5a - 10b
3) 8a3 - b3 - 4ax + 2bx

Manbar Singh · Accepted Answer

a a + b3 - 8 = a + b3 - 23 = a+b-2 a+b2+a+b×2+22 using
x3-y3=x-yx2+xy+y2 = a + b - 2 a2+ b2 + 2ab + 2a+ 2b+ 4b 2a3 + 16b3
- 5a - 10b = 2 a3 + 8b3 - 5 a + 2b = 2 a3 + 2b3 - 5 a + 2b = 2 a+2b
a2-a×2b+2b2 - 5a+2b using x3+y3 = x+y x2-xy+y2 = 2 a+2b
a2-2ab+4b2 - 5 a + 2b = a + 2b 2 a2 - 2ab + 4b2 - 5 = a + 2b 2a2 -
4ab + 8b2 - 5c 8a3 - b3 - 4ax + 2bx = 2a3 - b3 - 2x 2a - b = 2a-b
2a2+2a×b+b2 - 2x 2a-b using x3-y3=x-yx2+xy+y2 = 2a-b
4a2+2ab+b2 - 2x 2a-b = 2a-b 4a2+ 2ab + b2 - 2x

FACTORIZE- 1) (a+b)3 - 8 2) 2a3 + 16b3 - 5a - 10b 3) 8a3 - b3 - 4ax + 2bx

FACTORIZE-

1) (a+b)³ - 8

2) 2a³ + 16b³ - 5a - 10b

3) 8a3 - b3 - 4ax + 2bx