Question

E=(X+1)(X+2)-X(X+3) CON RESOL

Answer 1

Respuesta:

2

Explicación paso a paso:

$E=\left(x+1\right)\left(x+2\right)-x\left(x+3\right)$

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$\left(x+1\right)\left(x+2\right)\\=xx+x\cdot \:2+1\cdot \:x+1\cdot \:2\\=xx+2x+1\cdot \:x+1\cdot \:2\\=xx+3x+1\cdot \:2\\=x^2+3x+2$

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$E=x^2+3x+2-x\left(x+3\right)$

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$-x\left(x+3\right)\\=-xx+\left(-x\right)\cdot \:3\\=-xx-3x\\=-x^2-3x$

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$E=x^2+3x+2-x^2-3x\\E=x^2-x^2+3x-3x+2\\E=3x-3x+2\\E=2$