What is expand (8/5 a+1/3 b)^2 ?

The solution to expand (8/5 a+1/3 b)^2 is (576a^2+240ab+25b^2)/(225)

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expand (8/5 a+1/3 b)^2

expand

(\frac{8}{5} a + \frac{1}{3} b)^{2}

\frac{576 a ^{2} + 240 ab + 25 b ^{2}}{225}

Solution steps

(\frac{8}{5} a + \frac{1}{3} b)^{2}

Apply Perfect Square Formula:

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

(\frac{8}{5} a + \frac{1}{3} b)^{2} = (\frac{8}{5} a)^{2} + 2 \cdot \frac{8}{5} a \frac{1}{3} b + (\frac{1}{3} b)^{2}

= (\frac{8}{5} a)^{2} + 2 \cdot \frac{8}{5} a \frac{1}{3} b + (\frac{1}{3} b)^{2}

Simplify

(\frac{8}{5} a)^{2} + 2 \cdot \frac{8}{5} a \frac{1}{3} b + (\frac{1}{3} b)^{2} : \frac{576 a ^{2} + 240 ab + 25 b ^{2}}{225}

= \frac{576 a ^{2} + 240 ab + 25 b ^{2}}{225}

lo g_{6} (3 m n^{8})

- \frac{8 x}{( x ^{2} - 4 ) ^{2}}

(3 - i)^{4}

(1 - 2 i)^{5}

(\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} u)^{4}

What is expand (8/5 a+1/3 b)^2 ?
The solution to expand (8/5 a+1/3 b)^2 is (576a^2+240ab+25b^2)/(225)