Solve (7x+2)^(2)-3x(7x+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

$${ \left(7x+2 \right) }^{ 2 } -3x(7x+2)$$

Evaluate

$28x^{2}+22x+4$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(7x+2\right)^{2}$.

$$49x^{2}+28x+4-3x\left(7x+2\right)$$

Use the distributive property to multiply $-3x$ by $7x+2$.

$$49x^{2}+28x+4-21x^{2}-6x$$

Combine $49x^{2}$ and $-21x^{2}$ to get $28x^{2}$.

$$28x^{2}+28x+4-6x$$

Combine $28x$ and $-6x$ to get $22x$.

$$28x^{2}+22x+4$$

Expand

$28x^{2}+22x+4$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(7x+2\right)^{2}$.

$$49x^{2}+28x+4-3x\left(7x+2\right)$$

Use the distributive property to multiply $-3x$ by $7x+2$.

$$49x^{2}+28x+4-21x^{2}-6x$$

Combine $49x^{2}$ and $-21x^{2}$ to get $28x^{2}$.

$$28x^{2}+28x+4-6x$$

Combine $28x$ and $-6x$ to get $22x$.

$$28x^{2}+22x+4$$