Question

(x+2y)(2x+y)+(x+2y)(x-y) slove
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Answer 1

▪SOLUTION :

$\longrightarrow\sf (x+2y)(2x+y)+(x+2y)(x-y)$

▪Using distributive law : a (b+c ) = ab +ac

$\longrightarrow\sf 2x(x+2y)+y (x+2y)+x (x+2y)-y (x+2y)$

$\longrightarrow\sf 2x^2+4xy+xy+2y^2+x^2+2xy-xy-2y^2$

$\longrightarrow\sf 2x^2+x^2+\cancel{2y^2} - \cancel{2y^2}+4xy + xy + 2xy-xy$

$\longrightarrow\sf 3x^2 + 7xy-xy$

$\longrightarrow\underline{\boxed{\bf 3x^2 + 6xy}}$

Answer 2

Answer:

3x²+6xy

Step-by-step explanation:

x+2y(2×+y+x-y)

x+2y(3x)

3x²+6xy

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