Solve 100-16(x)^(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

$$100-16 { x }^{ 2 }$$

Factor

$4\left(-2x-5\right)\left(2x-5\right)$

Solution Steps

Factor out $4$.

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

Consider $25-4x^{2}$. Rewrite $25-4x^{2}$ as $5^{2}-\left(2x\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

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

Reorder the terms.

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

Rewrite the complete factored expression.

$$4\left(-2x+5\right)\left(2x+5\right)$$

Evaluate

$100-16x^{2}$