What is expand (3/4 x+2)^2 ?

The solution to expand (3/4 x+2)^2 is (9x^2+48x+64)/(16)

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expand (3/4 x+2)^2

expand

(\frac{3}{4} x + 2)^{2}

\frac{9 x ^{2} + 48 x + 64}{16}

Solution steps

(\frac{3}{4} x + 2)^{2}

Apply Perfect Square Formula:

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

(\frac{3}{4} x + 2)^{2} = (\frac{3}{4} x)^{2} + 2 \cdot \frac{3}{4} x \cdot 2 + 2^{2}

= (\frac{3}{4} x)^{2} + 2 \cdot \frac{3}{4} x \cdot 2 + 2^{2}

Simplify

(\frac{3}{4} x)^{2} + 2 \cdot \frac{3}{4} x \cdot 2 + 2^{2} : \frac{9 x ^{2} + 48 x + 64}{16}

= \frac{9 x ^{2} + 48 x + 64}{16}

e^{(x + i y)^{2}}

(- e^{x} sin (x) + e^{x} cos (x))^{2}

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

\frac{5}{( x ^{2} + 4 ) ( x ^{2} - 1 )}

\frac{3 x ^{2}}{( x + 3 ) ^{2}}

What is expand (3/4 x+2)^2 ?
The solution to expand (3/4 x+2)^2 is (9x^2+48x+64)/(16)