Question

Factor of 64x^4y - 36x^2y

Answer 1

`64 {x}^(4) y - 36 {x}^(2) y \\`

Now take 4x^2y as common

`= 4 {x}^(2) y(16 {x}^(2) - 9)`

Now factorise the bracket portion using a^2 - b^2 = (a + b)(a - b) formula

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

Answer:

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

Hope you could understand.

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