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Popular >

expand 4pi(r+1)^2

Solution

expand

4 π (r + 1)^{2}

Solution

4 π r^{2} + 8 π r + 4 π

Solution steps

4 π (r + 1)^{2}

(r + 1)^{2} = r^{2} + 2 r + 1

= 4 π (r^{2} + 2 r + 1)

Distribute parentheses

= 4 π r^{2} + 4 π 2 r + 4 π 1

= 4 π r^{2} + 4 \cdot 2 π r + 4 \cdot 1 π

Simplify

4 π r^{2} + 4 \cdot 2 π r + 4 \cdot 1 π : 4 π r^{2} + 8 π r + 4 π

= 4 π r^{2} + 8 π r + 4 π

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Frequently Asked Questions (FAQ)

What is expand 4pi(r+1)^2 ?
The solution to expand 4pi(r+1)^2 is 4pir^2+8pir+4pi