2(x+y)+3(x+y)+(x+y)2x+y)^{2}

asked by guest
on Apr 09, 2025 at 9:34 pm



You asked:

Evaluate the expression: 2(x+y)+3(x+y)+(x+y)22 \left(x + y\right) + 3 \left(x + y\right) + {\left( x + y \right)}^{2}

MathBot Answer:

Evaluated



2(x+y)+3(x+y)+(x+y)2=5x+5y+(x+y)2\displaystyle 2 \left(x + y\right) + 3 \left(x + y\right) + {\left( x + y \right)}^{2} = 5 x + 5 y + \left(x + y\right)^{2}

Expanded

2(x+y)+3(x+y)+(x+y)2=x2+2xy+5x+y2+5y2 \left(x + y\right) + 3 \left(x + y\right) + {\left( x + y \right)}^{2} = x^{2} + 2 x y + 5 x + y^{2} + 5 y

Factored

2(x+y)+3(x+y)+(x+y)2=(x+y)(x+y+5)2 \left(x + y\right) + 3 \left(x + y\right) + {\left( x + y \right)}^{2} = \left(x + y\right) \left(x + y + 5\right)

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