# Subtract the polynomials (10x^{3} - 5x^{2} + 3x-4)-(6x^{3}

Subtract the polynomials $\left(10{x}^{3}-5{x}^{2}+3x-4\right)-\left(6{x}^{3}+4{x}^{2}-3x-1\right)$
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alexandrebaud43
Subtract the polynomials $\left(10{x}^{3}-5{x}^{2}+3x-4\right)-\left(6{x}^{3}+4{x}^{2}-3x-1\right)$
Solution $\left(10{x}^{3}-5{x}^{2}+3x-4\right)-\left(6{x}^{3}+4{x}^{2}-3x-1\right)$
$=10{x}^{3}-5{x}^{2}+3x-4\cdot -6{x}^{3}-4{x}^{2}+3x+1$
$=4{x}^{3}-9{x}^{2}+6x-3$
Hence, $\left(10{x}^{3}-5{x}^{2}+3x-4\right)-\left(6{x}^{3}+4{x}^{2}-3x-1\right)=4{x}^{3}-9{x}^{2}+6x-3$