fractorize (a+1)*(x^2)+(x*y)-{a*(y^2)}
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Now, (a + 1)x² + xy - ay²
= ax² + x² + xy - ay²
= ax² - ay² + x² + xy
= a (x² - y²) + x (x + y)
= a (x + y)(x - y) + x (x + y)
= (x + y){a (x - y) + x}
= (x + y)(ax - ay + x),
which is the required factorization.
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Now, (a + 1)x² + xy - ay²
= ax² + x² + xy - ay²
= ax² - ay² + x² + xy
= a (x² - y²) + x (x + y)
= a (x + y)(x - y) + x (x + y)
= (x + y){a (x - y) + x}
= (x + y)(ax - ay + x),
which is the required factorization.
#MarkAsBrainliest
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