Mathematics
Factorise :
ax2 + b2y - ab2 - x2y
Factorisation
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Answer
ax2 + b2y - ab2 - x2y
= (ax2 - ab2) + (b2y - x2y)
= a (x2 - b2) + y(b2 - x2)
= a (x2 - b2) - y(x2 - b2)
= (x2 - b2)(a - y)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (x - b)(x + b)(a - y)
Hence,ax2 + b2y - ab2 - x2y = (x - b)(x + b)(a - y)
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