Mathematics

## FACTORIZATION EXERCISE 3.2.6 – Class 9

Factorise (i) a3 – b3 – c3 – 3abc Solution: = a3 + (– b3)+(– c3) – 3a(–b) ( –c) Using x3 + y3 + z3 – 3xyz = (x + y +z) (x2 + y2 + z2 – xy – yz – xz) we get x = a y = –b c = –c… Continue reading FACTORIZATION EXERCISE 3.2.6 – Class 9

Mathematics

## FACTORIZATION – EXERCISE 3.2.6 – Class 9

Factorise (i) a3 – b3 – c3 – 3abc Solution: = a3 + (– b3)+(– c3) – 3a(–b) ( –c) Using x3 + y3 + z3 – 3xyz = (x + y +z) (x2 + y2 + z2 – xy – yz – xz) we get x = a y = –b c = –c… Continue reading FACTORIZATION – EXERCISE 3.2.6 – Class 9

## FACTORIZATION – EXERCISE 3.2.5 – Class 9

Factorise: (i) 8y3 – 1 Solution: = (2y)3 – 13 [∵ a3 – b3 = (a – b) (a2 + ab + b2)] = (2y – 1) [(2y)2 + 2y .1 + 12] = (2y – 1) (4y2 + 2y + 1)   (ii) 27x3 – 8 Solution: = (3x)3 – 23 [∵ a3 –… Continue reading FACTORIZATION – EXERCISE 3.2.5 – Class 9

## FACTORIZATION EXERCISE 3.2.5 – Class 9

Factorise: (i) 8y3 – 1 Solution: = (2y)3 – 13 [∵ a3 – b3 = (a – b) (a2 + ab + b2)] = (2y – 1) [(2y)2 + 2y .1 + 12] = (2y – 1) (4y2 + 2y + 1)   (ii) 27x3 – 8 Solution: = (3x)3 – 23 [∵ a3 –… Continue reading FACTORIZATION EXERCISE 3.2.5 – Class 9

## FACTORIZATION EXERCISE 3.2.4 – Class 9

Resolve into factors (i) x4 + y4 – 7x2 y2 Solution: = x4 + y4 – 2x2 y2 – 2x2 y2 – 7x2 y2 = x4 + y4 + 2x2 y2 – 9x2 y2 = (x2 + y2)2 – (3xy)2 = (x2 + y2 + 3xy) (x2 + y2 – 3xy)   (ii) 4x4 +… Continue reading FACTORIZATION EXERCISE 3.2.4 – Class 9