Question

Factorise: x^2+y^2+2(xy+xz+yz)

Answer 1

Explanation:

Making

m=x−y
n=y−z
p=x−z

we have

m2+n2+p2=2(x2+y2+z2−x⋅y−x⋅z−y⋅z)

then

x2+y2+z2−x⋅y−x⋅z−y⋅z=12((x−y)2+(y−z)2+(x−z)2)


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Answer 2

$\bold{ \underline{ \red{QUESTION \: \: }}}$➡


$\bold{Factorise : \: x {}^{2} + y {}^{2} + 2( xy+ xz+ yz)}$




$\bold{ \underline {\red{SOLUTION \: \: }}}$➡


$\bold{x {}^{2} + y {}^{2} + 2( xy + xz + yz)} \\ \\ \bold{ = x {}^{2} + y {}^{2} + 2xy + 2xz + 2yz} \\ \\ \bold{ =( x + y) {}^{2} + 2z(x + y)} \\ \\ \bold{ = (x + y)(x + y + 2z)}$

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✝$\mathfrak{ \red{THANKS...}}$✝