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Square of a trinomial Calculator

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1

Solved example of Square of a trinomial

$\left(\frac{\left(x^3+7x\right)^5\sqrt{8x^2+cosx}}{\left(2x^2-x+1\right)^2e^x\:}\right)$
2

Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms

$\frac{\left(x^3+7x\right)^5\sqrt{8x^2+\cos\left(x\right)}}{\left(2\left(x^2-\frac{1}{2}x+\frac{1}{2}\right)\right)^2e^x}$
3

Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$\frac{\left(x^3+7x\right)^5\sqrt{8x^2+\cos\left(x\right)}}{\left(2\left(x^2-\frac{1}{2}x+\frac{1}{2}+\frac{1}{16}-\frac{1}{16}\right)\right)^2e^x}$
4

Factor the perfect square trinomial $x^2+-\frac{1}{2}x+\frac{1}{16}$

$\frac{\left(x^3+7x\right)^5\sqrt{8x^2+\cos\left(x\right)}}{\left(2\left(\left(x-\frac{1}{4}\right)^2+\frac{7}{16}\right)\right)^2e^x}$
5

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(x^3+7x\right)^5\sqrt{8x^2+\cos\left(x\right)}}{4\left(\left(x-\frac{1}{4}\right)^2+\frac{7}{16}\right)^2e^x}$