Solve ) ( 2b-y) ) (- p + 4q) ^ 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

$$( - p + 4 q ) ^ { 2 }$$

Evaluate

$\left(4q-p\right)^{2}$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(-p+4q\right)^{2}$.

$$\left(-p\right)^{2}+8\left(-p\right)q+16q^{2}$$

Calculate $-p$ to the power of $2$ and get $p^{2}$.

$$p^{2}+8\left(-p\right)q+16q^{2}$$

Multiply $8$ and $-1$ to get $-8$.

$$p^{2}-8pq+16q^{2}$$

Expand

$p^{2}-8pq+16q^{2}$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(-p+4q\right)^{2}$.

$$\left(-p\right)^{2}+8\left(-p\right)q+16q^{2}$$

Calculate $-p$ to the power of $2$ and get $p^{2}$.

$$p^{2}+8\left(-p\right)q+16q^{2}$$

Multiply $8$ and $-1$ to get $-8$.

$$p^{2}-8pq+16q^{2}$$