Solve 2(4 - h) + 2 * (34 + h) ^ 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

$$2(4-h)+2(34+h)^{2}$$

Evaluate

$2\left(h^{2}+67h+1160\right)$

Solution Steps

Use the distributive property to multiply $2$ by $4-h$.

$$8-2h+2\left(34+h\right)^{2}$$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(34+h\right)^{2}$.

$$8-2h+2\left(1156+68h+h^{2}\right)$$

Use the distributive property to multiply $2$ by $1156+68h+h^{2}$.

$$8-2h+2312+136h+2h^{2}$$

Add $8$ and $2312$ to get $2320$.

$$2320-2h+136h+2h^{2}$$

Combine $-2h$ and $136h$ to get $134h$.

$$2320+134h+2h^{2}$$

Expand

$2h^{2}+134h+2320$

Solution Steps

Use the distributive property to multiply $2$ by $4-h$.

$$8-2h+2\left(34+h\right)^{2}$$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(34+h\right)^{2}$.

$$8-2h+2\left(1156+68h+h^{2}\right)$$

Use the distributive property to multiply $2$ by $1156+68h+h^{2}$.

$$8-2h+2312+136h+2h^{2}$$

Add $8$ and $2312$ to get $2320$.

$$2320-2h+136h+2h^{2}$$

Combine $-2h$ and $136h$ to get $134h$.

$$2320+134h+2h^{2}$$