Solve 4 * (y + 2) ^ 2 - y ^ 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

$$4(y+2)^{2}-y^{2}$$

Evaluate

$\left(y+4\right)\left(3y+4\right)$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(y+2\right)^{2}$.

$$4\left(y^{2}+4y+4\right)-y^{2}$$

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

$$4y^{2}+16y+16-y^{2}$$

Combine $4y^{2}$ and $-y^{2}$ to get $3y^{2}$.

$$3y^{2}+16y+16$$

Expand

$3y^{2}+16y+16$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(y+2\right)^{2}$.

$$4\left(y^{2}+4y+4\right)-y^{2}$$

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

$$4y^{2}+16y+16-y^{2}$$

Combine $4y^{2}$ and $-y^{2}$ to get $3y^{2}$.

$$3y^{2}+16y+16$$