Question

Ans both questions........

Answer 1

(1)

a^7 - ab^6

= > a(a^6 - b^6)

= > a((a^3)^2 - (b^3)^2)

= > a((a^3 + b^3)(a^3 - b^3))

= > a((a + b)(a^2 - ab + b^2)(a - b)(a^2 + ab + b^2)

= > a(a + b)(a - b)(a^2 - ab + b^2)(a^2 + ab + b^2)


(2)

Given Equation is (x^2 + 4x + 4)(x^2 + 6x + 9)

= > (x^2 + 2x + 2x + 4)(x^2 + 3x + 3x + 9)

= > (x(x + 2) + 2(x + 2))(x(x + 3) + 3(x + 3))

= > (x + 2)(x + 2)(x + 3)(x + 3)

= > (x + 2)^2(x + 3)^2.

= > (x + 2)(x + 3)

= > x^2 + 3x + 2x + 6

= > x^2 + 5x + 6.



Hope this helps!

Answer 2

Hi,

Please see the attached file!



Thanks