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Factorisation by Regrouping Terms

Factorize the...

Question

Factorize the following :
$15 x^{2} - 29 x y + 8 y^{2}$

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Solution

Factorize : $15 x^{2} - 29 x y + 8 y^{2}$
$= 15 x^{2} - 5 x y - 24 x y + 8 y^{2}$
$= 5 x (3 x - y) - 8 y (3 x - y)$
$= (5 x - 8 y) (3 x - y) .$
Hence, the answer is $(5 x - 8 y) (3 x - y) .$

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Factorisation by Regrouping Terms

Standard VIII Mathematics

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