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Popular >

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

Solution

simplify

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

Solution

4 b^{2}

Solution steps

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

Apply rule:

(a) = a

(a + b) = a + b

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

Simplify

a + b - (a - b) : 2 b

= (2 b)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 b)^{2} = 2^{2} b^{2}

= 2^{2} b^{2}

2^{2} = 4

= 4 b^{2}

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Frequently Asked Questions (FAQ)

What is ((a+b)-(a-b))^2 ?
The solution to ((a+b)-(a-b))^2 is 4b^2