Solve (2.x-5)^ 2 -4x^ 2 +25 | 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

$$(2.x-5)^{2}-4x^{2}+25$$

Evaluate

$50-20x$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(2x-5\right)^{2}$.

$$4x^{2}-20x+25-4x^{2}+25$$

Combine $4x^{2}$ and $-4x^{2}$ to get $0$.

$$-20x+25+25$$

Add $25$ and $25$ to get $50$.

$$-20x+50$$

Expand

$50-20x$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(2x-5\right)^{2}$.

$$4x^{2}-20x+25-4x^{2}+25$$

Combine $4x^{2}$ and $-4x^{2}$ to get $0$.

$$-20x+25+25$$

Add $25$ and $25$ to get $50$.

$$-20x+50$$