What is expand (5/4 x-1/3)^2 ?

The solution to expand (5/4 x-1/3)^2 is (225x^2-120x+16)/(144)

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expand (5/4 x-1/3)^2

expand

(\frac{5}{4} x - \frac{1}{3})^{2}

\frac{225 x ^{2} - 120 x + 16}{144}

Solution steps

(\frac{5}{4} x - \frac{1}{3})^{2}

Apply Perfect Square Formula:

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

(\frac{5}{4} x - \frac{1}{3})^{2} = (\frac{5}{4} x)^{2} - 2 \cdot \frac{5}{4} x \frac{1}{3} + (\frac{1}{3})^{2}

= (\frac{5}{4} x)^{2} - 2 \cdot \frac{5}{4} x \frac{1}{3} + (\frac{1}{3})^{2}

Simplify

(\frac{5}{4} x)^{2} - 2 \cdot \frac{5}{4} x \frac{1}{3} + (\frac{1}{3})^{2} : \frac{225 x ^{2} - 120 x + 16}{144}

= \frac{225 x ^{2} - 120 x + 16}{144}

\frac{3 cos ( t ) - 2 sin ^{2} ( t )}{( 3 - 2 cos ( t ) ) ^{2}}

\frac{2 s ^{2} + 20 s + 45}{( s + 2 ) ( s + 3 ) ( s + 4 )}

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

\frac{x ^{2} ( - x + 15 )}{250}

(1 - x) (1 - x^{2})

What is expand (5/4 x-1/3)^2 ?
The solution to expand (5/4 x-1/3)^2 is (225x^2-120x+16)/(144)