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Popular >

expand (2p+q)^2

Solution

expand

(2 p + q)^{2}

Solution

4 p^{2} + 4 pq + q^{2}

Solution steps

(2 p + q)^{2}

Apply Perfect Square Formula:

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

(2 p + q)^{2} = (2 p)^{2} + 2 \cdot 2 pq + q^{2}

= (2 p)^{2} + 2 \cdot 2 pq + q^{2}

Simplify

(2 p)^{2} + 2 \cdot 2 pq + q^{2} : 4 p^{2} + 4 pq + q^{2}

= 4 p^{2} + 4 pq + q^{2}

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Frequently Asked Questions (FAQ)

What is expand (2p+q)^2 ?
The solution to expand (2p+q)^2 is 4p^2+4pq+q^2