Solve the product (5x^2-1)(5x^2-5)

 Exercise

$\left(5x^2-1\right)\left(5x^2-5\right)$

 

Multiply the single term $5x^2-5$ by each term of the polynomial $\left(5x^2-1\right)$

$5x^2\left(5x^2-5\right)-\left(5x^2-5\right)$

 

Multiply the single term $5x^2$ by each term of the polynomial $\left(5x^2-5\right)$

$25x^2\cdot x^2-25x^2-\left(5x^2-5\right)$

 

When multiplying exponents with same base we can add the exponents

$25x^{4}-25x^2-\left(5x^2-5\right)$

 

Multiply the single term $-1$ by each term of the polynomial $\left(5x^2-5\right)$

$25x^{4}-25x^2-5x^2+5$

 

Combining like terms $-25x^2$ and $-5x^2$

$25x^{4}-30x^2+5$

$25x^{4}-30x^2+5$

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