What is (m+2p)^2+(m_{3}p)^2 ?

The solution to (m+2p)^2+(m_{3}p)^2 is (m+2p)^2+m_{3}^2p^2

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simplify (m+2p)^2+(m_{3}p)^2

simplify

(m + 2 p)^{2} + (m_{3} p)^{2}

(m + 2 p)^{2} + m_{3}^{2} p^{2}

Solution steps

(m + 2 p)^{2} + (m_{3} p)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(m_{3} p)^{2} = m_{3}^{2} p^{2}

= (m + 2 p)^{2} + m_{3}^{2} p^{2}

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

4 x^{3} + 8 x^{2} - 6 x - 12

\frac{8}{( x ^{2} + 6 x + 9 )} + \frac{4}{( x + 3 )}

\frac{( 2 ^{n + 2} + 2 ^{n} )}{( 2 ^{n - 2} + 2 ^{n} )}

a^{2} - a - (x^{2} + 7 x - 12)

What is (m+2p)^2+(m_{3}p)^2 ?
The solution to (m+2p)^2+(m_{3}p)^2 is (m+2p)^2+m_{3}^2p^2