What is expand (2pirh+2pir^2)^2 ?

The solution to expand (2pirh+2pir^2)^2 is 4pi^2h^2r^2+8pi^2hr^3+4pi^2r^4

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expand (2pirh+2pir^2)^2

expand

(2 π r h + 2 π r^{2})^{2}

4 π^{2} h^{2} r^{2} + 8 π^{2} h r^{3} + 4 π^{2} r^{4}

Solution steps

(2 π r h + 2 π r^{2})^{2}

= (2 πh r + 2 π r^{2})^{2}

Apply Perfect Square Formula:

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

a = 2 π r h, b = 2 π r^{2}

= (2 π r h)^{2} + 2 \cdot 2 π r h \cdot 2 π r^{2} + (2 π r^{2})^{2}

Simplify

(2 π r h)^{2} + 2 \cdot 2 π r h \cdot 2 π r^{2} + (2 π r^{2})^{2} : 4 π^{2} h^{2} r^{2} + 8 π^{2} h r^{3} + 4 π^{2} r^{4}

= 4 π^{2} h^{2} r^{2} + 8 π^{2} h r^{3} + 4 π^{2} r^{4}

\frac{d x}{( x - 3 ) ^{5}}

, e^{2 x} + (1 - 2 x) e^{x} + x^{2} - 1

(x^{3} + 2 x + 1)^{5}

(3 x^{2} + y) d x

\frac{( a - 4 ) ( a + 6 )}{6}

What is expand (2pirh+2pir^2)^2 ?
The solution to expand (2pirh+2pir^2)^2 is 4pi^2h^2r^2+8pi^2hr^3+4pi^2r^4