What is expand (4/6 px+5/10 jy)^2 ?

The solution to expand (4/6 px+5/10 jy)^2 is (16p^2x^2+24pjxy+9j^2y^2)/(36)

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expand (4/6 px+5/10 jy)^2

expand

(\frac{4}{6} p x + \frac{5}{10} j y)^{2}

\frac{16 p ^{2} x ^{2} + 24 p j x y + 9 j ^{2} y ^{2}}{36}

Solution steps

(\frac{4}{6} p x + \frac{5}{10} j y)^{2}

Apply Perfect Square Formula:

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

(\frac{4}{6} p x + \frac{5}{10} j y)^{2} = (\frac{4}{6} p x)^{2} + 2 \cdot \frac{4}{6} p x \frac{5}{10} j y + (\frac{5}{10} j y)^{2}

= (\frac{4}{6} p x)^{2} + 2 \cdot \frac{4}{6} p x \frac{5}{10} j y + (\frac{5}{10} j y)^{2}

Simplify

(\frac{4}{6} p x)^{2} + 2 \cdot \frac{4}{6} p x \frac{5}{10} j y + (\frac{5}{10} j y)^{2} : \frac{16 p ^{2} x ^{2} + 24 p j x y + 9 j ^{2} y ^{2}}{36}

= \frac{16 p ^{2} x ^{2} + 24 p j x y + 9 j ^{2} y ^{2}}{36}

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What is expand (4/6 px+5/10 jy)^2 ?
The solution to expand (4/6 px+5/10 jy)^2 is (16p^2x^2+24pjxy+9j^2y^2)/(36)