Expand the expression (2x^2-3z)(3x-y)

 Exercise

$\left(2x^2-3z\right)\left(3x-y\right)$

 

Multiply the single term $3x-y$ by each term of the polynomial $\left(2x^2-3z\right)$

$2x^2\left(3x-y\right)-3z\left(3x-y\right)$

 

Multiply the single term $2x^2$ by each term of the polynomial $\left(3x-y\right)$

$6x\cdot x^2-2yx^2-3z\left(3x-y\right)$

 

When multiplying exponents with same base you can add the exponents: $6x\cdot x^2$

$6x^{3}-2yx^2-3z\left(3x-y\right)$

 

Multiply the single term $-3z$ by each term of the polynomial $\left(3x-y\right)$

$6x^{3}-2yx^2-9xz+3yz$

$6x^{3}-2yx^2-9xz+3yz$

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