Solve 75 - 27x ^ 2 | 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

$$75-27x^{2}$$

Factor

$3\left(-3x-5\right)\left(3x-5\right)$

Solution Steps

Factor out $3$.

$$3\left(25-9x^{2}\right)$$

Consider $25-9x^{2}$. Rewrite $25-9x^{2}$ as $5^{2}-\left(3x\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(5-3x\right)\left(5+3x\right)$$

Reorder the terms.

$$\left(-3x+5\right)\left(3x+5\right)$$

Rewrite the complete factored expression.

$$3\left(-3x+5\right)\left(3x+5\right)$$

Evaluate

$75-27x^{2}$