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Popular >

expand (x+2)^2-y^2

Solution

expand

(x + 2)^{2} - y^{2}

Solution

x^{2} + 4 x + 4 - y^{2}

Solution steps

(x + 2)^{2} - y^{2}

Apply Perfect Square Formula:

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

(x + 2)^{2} = x^{2} + 2 x \cdot 2 + 2^{2}

= x^{2} + 2 x \cdot 2 + 2^{2} - y^{2}

Simplify

x^{2} + 2 x \cdot 2 + 2^{2} : x^{2} + 4 x + 4

= x^{2} + 4 x + 4 - y^{2}

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Frequently Asked Questions (FAQ)

What is expand (x+2)^2-y^2 ?
The solution to expand (x+2)^2-y^2 is x^2+4x+4-y^2