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Popular >

expand (r-2s)^2

Solution

expand

(r - 2 s)^{2}

Solution

r^{2} - 4 rs + 4 s^{2}

Solution steps

(r - 2 s)^{2}

Apply Perfect Square Formula:

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

(r - 2 s)^{2} = r^{2} - 2 r \cdot 2 s + (2 s)^{2}

= r^{2} - 2 r \cdot 2 s + (2 s)^{2}

Simplify

r^{2} - 2 r \cdot 2 s + (2 s)^{2} : r^{2} - 4 rs + 4 s^{2}

= r^{2} - 4 rs + 4 s^{2}

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Frequently Asked Questions (FAQ)

What is expand (r-2s)^2 ?
The solution to expand (r-2s)^2 is r^2-4rs+4s^2