Solve (x+5)\times6+(x-3)^(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

$$(x+5) \times 6+ { \left(x-3 \right) }^{ 2 }$$

Evaluate

$x^{2}+39$

Solution Steps

Use the distributive property to multiply $x+5$ by $6$.

$$6x+30+\left(x-3\right)^{2}$$

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(x-3\right)^{2}$.

$$6x+30+x^{2}-6x+9$$

Combine $6x$ and $-6x$ to get $0$.

$$30+x^{2}+9$$

Add $30$ and $9$ to get $39$.

$$39+x^{2}$$

Expand

$x^{2}+39$

Solution Steps

Use the distributive property to multiply $x+5$ by $6$.

$$6x+30+\left(x-3\right)^{2}$$

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(x-3\right)^{2}$.

$$6x+30+x^{2}-6x+9$$

Combine $6x$ and $-6x$ to get $0$.

$$30+x^{2}+9$$

Add $30$ and $9$ to get $39$.

$$39+x^{2}$$