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Popular >

expand (p+5q)^2

Solution

expand

(p + 5 q)^{2}

Solution

p^{2} + 10 pq + 25 q^{2}

Solution steps

(p + 5 q)^{2}

Apply Perfect Square Formula:

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

(p + 5 q)^{2} = p^{2} + 2 p \cdot 5 q + (5 q)^{2}

= p^{2} + 2 p \cdot 5 q + (5 q)^{2}

Simplify

p^{2} + 2 p \cdot 5 q + (5 q)^{2} : p^{2} + 10 pq + 25 q^{2}

= p^{2} + 10 pq + 25 q^{2}

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Frequently Asked Questions (FAQ)

What is expand (p+5q)^2 ?
The solution to expand (p+5q)^2 is p^2+10pq+25q^2