Solve (5(x)^(2)-3)(5(x)^(2)+3) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(5 { x }^{ 2 } -3)(5 { x }^{ 2 } +3)$$

Evaluate

$25x^{4}-9$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$. Square $3$.

$$\left(5x^{2}\right)^{2}-9$$

Expand $\left(5x^{2}\right)^{2}$.

$$5^{2}\left(x^{2}\right)^{2}-9$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $2$ to get $4$.

$$5^{2}x^{4}-9$$

Calculate $5$ to the power of $2$ and get $25$.

$$25x^{4}-9$$

Expand

$25x^{4}-9$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$. Square $3$.

$$\left(5x^{2}\right)^{2}-9$$

Expand $\left(5x^{2}\right)^{2}$.

$$5^{2}\left(x^{2}\right)^{2}-9$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $2$ to get $4$.

$$5^{2}x^{4}-9$$

Calculate $5$ to the power of $2$ and get $25$.

$$25x^{4}-9$$