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

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

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expand (3(a+b)^2)/2

expand

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

\frac{3 a ^{2}}{2} + 3 ab + \frac{3 b ^{2}}{2}

Solution steps

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

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

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

Expand

3 (a^{2} + 2 ab + b^{2}) : 3 a^{2} + 6 ab + 3 b^{2}

= \frac{3 a ^{2} + 6 ab + 3 b ^{2}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 a ^{2} + 6 ab + 3 b ^{2}}{2} = \frac{3 a ^{2}}{2} + \frac{6 ab}{2} + \frac{3 b ^{2}}{2}

= \frac{3 a ^{2}}{2} + \frac{6 ab}{2} + \frac{3 b ^{2}}{2}

Divide the numbers:

\frac{6}{2} = 3

= \frac{3 a ^{2}}{2} + 3 ab + \frac{3 b ^{2}}{2}

(7 x^{\frac{5}{3}} + 49 x^{\frac{2}{3}}) (5)

(1 + 2 π \cdot sin (2 π x))^{2}

\frac{7}{( s ^{2} + 49 ) ( s ^{2} + 9 )}

(4 x - 2 y) d x

(y - x) d x

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