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Popular >

expand (1+x/4)^2

Solution

expand

(1 + \frac{x}{4})^{2}

Solution

\frac{16 + 8 x + x ^{2}}{16}

Solution steps

(1 + \frac{x}{4})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(1 + \frac{x}{4})^{2} = 1^{2} + 2 \cdot 1 \cdot \frac{x}{4} + (\frac{x}{4})^{2}

= 1^{2} + 2 \cdot 1 \cdot \frac{x}{4} + (\frac{x}{4})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot \frac{x}{4} + (\frac{x}{4})^{2} : \frac{16 + 8 x + x ^{2}}{16}

= \frac{16 + 8 x + x ^{2}}{16}

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Frequently Asked Questions (FAQ)

What is expand (1+x/4)^2 ?
The solution to expand (1+x/4)^2 is (16+8x+x^2)/(16)