factorise: 4(x-y) square-12(x-y)(x+y)+9(x+y)square
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Solution :
4(x-y)² -12(x-y)(x+y) + 9(x+y)²
= [2(x-y)]² - 2×2(x-y)×3(x+y) + [3(x+y)]²
= [2(x-y)-3(x+y)]²
= ( 2x-2y-3x-3y )²
= ( -x-5y )²
= ( x+5y )²
= ( x + 5y )( x + 5y )
••••
4(x-y)² -12(x-y)(x+y) + 9(x+y)²
= [2(x-y)]² - 2×2(x-y)×3(x+y) + [3(x+y)]²
= [2(x-y)-3(x+y)]²
= ( 2x-2y-3x-3y )²
= ( -x-5y )²
= ( x+5y )²
= ( x + 5y )( x + 5y )
••••
ss880021pazm9e:
but the answer given is (x+5y)square
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