Solve the product (x^2-3)(x^2-2)

 Exercise

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

 

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

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

 

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

$x^2\cdot x^2-2x^2-3\left(x^2-2\right)$

 

When multiplying exponents with same base we can add the exponents

$x^{4}-2x^2-3\left(x^2-2\right)$

 

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

$x^{4}-2x^2-3x^2+6$

 

Combining like terms $-2x^2$ and $-3x^2$

$x^{4}-5x^2+6$

$x^{4}-5x^2+6$

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