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Popular >

expand r*(r^2cos^2(θ)+r^2sin(θ)+2rsin(θ)+1)

Solution

expand

r \cdot (r^{2} cos^{2} (θ) + r^{2} sin (θ) + 2 r sin (θ) + 1)

Solution

r^{3} cos^{2} (θ) + r^{3} sin (θ) + 2 r^{2} sin (θ) + r

Solution steps

r (r^{2} cos^{2} (θ) + r^{2} sin (θ) + 2 r sin (θ) + 1)

Distribute parentheses

= r r^{2} cos^{2} (θ) + r r^{2} sin (θ) + r \cdot 2 r sin (θ) + r \cdot 1

Simplify

r r^{2} cos^{2} (θ) + r r^{2} sin (θ) + r \cdot 2 r sin (θ) + r \cdot 1 : r^{3} cos^{2} (θ) + r^{3} sin (θ) + 2 r^{2} sin (θ) + r

= r^{3} cos^{2} (θ) + r^{3} sin (θ) + 2 r^{2} sin (θ) + r

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Frequently Asked Questions (FAQ)

What is expand r*(r^2cos^2(θ)+r^2sin(θ)+2rsin(θ)+1) ?
The solution to expand r*(r^2cos^2(θ)+r^2sin(θ)+2rsin(θ)+1) is r^3cos^2(θ)+r^3sin(θ)+2r^2sin(θ)+r