Solve 3 * (a + 2) ^ 2 - 75 | 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

$$3(a+2)^{2}-75$$

Evaluate

$3\left(a-3\right)\left(a+7\right)$

Solution Steps

Use binomial theorem $\left(p+q\right)^{2}=p^{2}+2pq+q^{2}$ to expand $\left(a+2\right)^{2}$.

$$3\left(a^{2}+4a+4\right)-75$$

Use the distributive property to multiply $3$ by $a^{2}+4a+4$.

$$3a^{2}+12a+12-75$$

Subtract $75$ from $12$ to get $-63$.

$$3a^{2}+12a-63$$

Expand

$3a^{2}+12a-63$

Solution Steps

Use binomial theorem $\left(p+q\right)^{2}=p^{2}+2pq+q^{2}$ to expand $\left(a+2\right)^{2}$.

$$3\left(a^{2}+4a+4\right)-75$$

Use the distributive property to multiply $3$ by $a^{2}+4a+4$.

$$3a^{2}+12a+12-75$$

Subtract $75$ from $12$ to get $-63$.

$$3a^{2}+12a-63$$