Question

factorise 16(5 − 2) 2 − 25(2 − 5)​

Answer 1

Answer:

Factorise the following expressions

(i) 25(a+b)

2

−16(a−b)

2

(ii) 9(3x+2)

2

−4(2x−1)

2

(i)25(a+b)

2

−16(a−b)

2

=[5(a+b)]

2

−[4(a−b)]

2

=(5a+5b)

2

−(4a−4b)

2

=[(5a+5b)+(4a−4b)][(5a+5b)−(4a−ab)]

=(5a+5b+4a−4b)(5a+5b−4a+4b)

=(9a+b)(a+9b)

(ii)9(3x+2)

2

−4(2x−1)

2

=[3(3x+2)]

2

−[2(2x−1)]

2

=(9x+6)

2

−(4x−2)

2

=[(9x+6)+(4x−2)][(9x+6)−(4x−2)]

=(9x+6+4x−2)(9x+6−4x+2)

=(13x+4)(5x+8)

Step-by-step explanation:

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