( x y ) ( 2x 5y+3 ) ⇒ 2x ^ 2 5xy+3x 2xy+ 5y ^ 2 3y ⇒ 2x ^ 2 7xy+ 5y ^ 2 +3x 3y ...

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Multiplication of Any Polynomial

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Question

Expand: $(x - y) (2 x - 5 y + 3)$

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Solution

$(x - y) (2 x - 5 y + 3)$
$\Rightarrow {2 x}^{2} - 5 x y + 3 x - 2 x y + {5 y}^{2} - 3 y$
$\Rightarrow {2 x}^{2} - 7 x y + {5 y}^{2} + 3 x - 3 y$

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(x + y) (2 x - 5 y + 3 x y)

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Factorise :
$(x + y) (2 x + 5) - (x + y) (x + 3)$

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