Solve ( e ) 2 - 50z ^ 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

$$2 - 50 z ^ { 2 }$$

Factor

$2\left(-5z-1\right)\left(5z-1\right)$

Solution Steps

Factor out $2$.

$$2\left(1-25z^{2}\right)$$

Consider $1-25z^{2}$. Rewrite $1-25z^{2}$ as $1^{2}-\left(5z\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(1-5z\right)\left(1+5z\right)$$

Reorder the terms.

$$\left(-5z+1\right)\left(5z+1\right)$$

Rewrite the complete factored expression.

$$2\left(-5z+1\right)\left(5z+1\right)$$

Evaluate

$2-50z^{2}$