# Subtract -2x^2+3x-9 from 8x^2+10x-10

Subtract $-2{x}^{2}+3x-9$ from $8{x}^{2}+10x-10$
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Arham Warner
Consider the given polynomials:
${y}_{1}=-2{x}^{2}+3x-9$
${y}_{2}=8{x}^{2}+10x-10$
We have to subtract ${y}_{1}$ from ${y}_{2}$
Hence,
$y={y}_{2}-{y}_{1}$
Plug in the values:
$y={y}_{2}-{y}_{1}$
$=8{x}^{2}+10x-10-\left(-2{x}^{2}+3x-9\right)$
$=8{x}^{2}+10x-10+2{x}^{2}-3x+9$
$=10{x}^{2}-7x-1$