What is expand (6mn^4+3m^5p)^2 ?

The solution to expand (6mn^4+3m^5p)^2 is 36m^2n^8+36pm^6n^4+9m^{10}p^2

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expand (6mn^4+3m^5p)^2

expand

(6 m n^{4} + 3 m^{5} p)^{2}

36 m^{2} n^{8} + 36 p m^{6} n^{4} + 9 m^{10} p^{2}

Solution steps

(6 m n^{4} + 3 m^{5} p)^{2}

Apply Perfect Square Formula:

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

(6 m n^{4} + 3 m^{5} p)^{2} = (6 m n^{4})^{2} + 2 \cdot 6 m n^{4} \cdot 3 m^{5} p + (3 m^{5} p)^{2}

= (6 m n^{4})^{2} + 2 \cdot 6 m n^{4} \cdot 3 m^{5} p + (3 m^{5} p)^{2}

Simplify

(6 m n^{4})^{2} + 2 \cdot 6 m n^{4} \cdot 3 m^{5} p + (3 m^{5} p)^{2} : 36 m^{2} n^{8} + 36 p m^{6} n^{4} + 9 m^{10} p^{2}

= 36 m^{2} n^{8} + 36 p m^{6} n^{4} + 9 m^{10} p^{2}

\frac{1}{\frac{x}{x}}

cot (θ) (\frac{1}{3 cos ( θ )} + \frac{2}{cot ( θ )} - tan (θ))

3.14 \cdot 7^{2}

2 x - 5 x + 9 x

lo g_{10} (100) - lo g_{10} (10)

What is expand (6mn^4+3m^5p)^2 ?
The solution to expand (6mn^4+3m^5p)^2 is 36m^2n^8+36pm^6n^4+9m^{10}p^2