Question

3. Factorise each of the following by using
suitable identity.
(1) 25x² + 10xy + y2 (ii) a² + 2a + 1 - 25b²
(iii) 16x²-a²- + 2ab (iv) 4a²-9b² - 2a - 3b
(v) 16x⁴ - 81y⁴
(vi) x² - y2 + 2x +1
(vii) (x + 2)2 +p²+ 2p(x + 2)
(VIII) a + b2 -2(ab - ac + bc)​

Answer 1

Answer:

1. 25x ^2 + 10 xy + y^2

= (5x)^2 + 2 × 5x × y + y^2

=(5x + y) ^2

(v) 16 x^4 -81 y^4

=(4x^2)^2 - (9y^2)^2

=( 4x^2 + 9y^2) (4x^2 - 9y^2)

=(4x^2 +9y^2) {(2x)^2 - (3y)^2}

=(4x^2 + 9y^2) (2x + 3y) (2x - 3y)

Step-by-step explanation:

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