Question

Factorise : 9(2x-y) ^2-(3x-2y) ^2

Answer 1

Answer:

(9x-y)(3x-5y)

Explanation:

9(2x-y)²-(3x-2y)²

=[3(2x-y)]²-(3x+2y)

=(6x-3y)²-(3x+2y)²

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We know the algebraic identity:

a²-b²=(a+b)(a-b)

__________________

=[(6x-3y)+(3x+2y)][(6x-3y)-(3x+2y)]

=(6x-3y+3x+2y)(6x-3y-3x-2y)

=(9x-y)(3x-5y)

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