Solve 24(g)^(2)-24(B)^(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

$$24 { g }^{ 2 } -24 { B }^{ 2 }$$

Factor

$24\left(g-B\right)\left(B+g\right)$

Solution Steps

Factor out $24$.

$$24\left(g^{2}-B^{2}\right)$$

Consider $g^{2}-B^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(g-B\right)\left(g+B\right)$$

Reorder the terms.

$$\left(-B+g\right)\left(B+g\right)$$

Rewrite the complete factored expression.

$$24\left(-B+g\right)\left(B+g\right)$$

Evaluate

$24\left(g^{2}-B^{2}\right)$