Question

Factorise the following.
$64 - 25 {x}^{2} + 60xy – 36 {y}^{2}$
​

Answer 1

Answer:

(8+5x-6y)(8-5x+6y)

Step-by-step explanation:

64 - 25x^2 + 60xy - 36y^2

=64 - (25x^2 - 60xy + 36y^2)

= 64 - ([5x]^2 - 2(5x)(6y) + [6y]^2) {we can see the identity of (a-b)^2}

=(8)^2 - (5x-6y)^2                          {we can see the identity of a^2-b^2}

=(8+5x-6y)(8-5x+6y)

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