What is expand (a/b+3)^2 ?

The solution to expand (a/b+3)^2 is (9b^2+a^2+6ab)/(b^2)

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expand (a/b+3)^2

expand

(\frac{a}{b} + 3)^{2}

\frac{9 b ^{2} + a ^{2} + 6 ab}{b ^{2}}

Solution steps

(\frac{a}{b} + 3)^{2}

Apply Perfect Square Formula:

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

(\frac{a}{b} + 3)^{2} = (\frac{a}{b})^{2} + 2 \cdot \frac{a}{b} \cdot 3 + 3^{2}

= (\frac{a}{b})^{2} + 2 \cdot \frac{a}{b} \cdot 3 + 3^{2}

Simplify

(\frac{a}{b})^{2} + 2 \cdot \frac{a}{b} \cdot 3 + 3^{2} : \frac{9 b ^{2} + a ^{2} + 6 ab}{b ^{2}}

= \frac{9 b ^{2} + a ^{2} + 6 ab}{b ^{2}}

\frac{1}{( x ^{2} + 3 ) ( x - 1 )}

(7 - t) (7 + t)

(d^{2} + 1) (6 sin (x))

(x^{2} - \frac{2}{x} + 1) \cdot 6 x^{2}

(1 + \frac{y}{2})^{3}

What is expand (a/b+3)^2 ?
The solution to expand (a/b+3)^2 is (9b^2+a^2+6ab)/(b^2)