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Popular >

simplify (a+b)^2-(c+d)^2

Solution

simplify

(a + b)^{2} - (c + d)^{2}

Solution

a^{2} + 2 ab + b^{2} - c^{2} - 2 c d - d^{2}

Solution steps

(a + b)^{2} - (c + d)^{2}

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

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

(c + d)^{2} : c^{2} + 2 c d + d^{2}

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

- (c^{2} + 2 c d + d^{2}) : - c^{2} - 2 c d - d^{2}

= a^{2} + 2 ab + b^{2} - c^{2} - 2 c d - d^{2}

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Frequently Asked Questions (FAQ)

What is (a+b)^2-(c+d)^2 ?
The solution to (a+b)^2-(c+d)^2 is a^2+2ab+b^2-c^2-2cd-d^2