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Popular >

expand (5p-3q)^2

Solution

expand

(5 p - 3 q)^{2}

Solution

25 p^{2} - 30 pq + 9 q^{2}

Solution steps

(5 p - 3 q)^{2}

Apply Perfect Square Formula:

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

(5 p - 3 q)^{2} = (5 p)^{2} - 2 \cdot 5 p \cdot 3 q + (3 q)^{2}

= (5 p)^{2} - 2 \cdot 5 p \cdot 3 q + (3 q)^{2}

Simplify

(5 p)^{2} - 2 \cdot 5 p \cdot 3 q + (3 q)^{2} : 25 p^{2} - 30 pq + 9 q^{2}

= 25 p^{2} - 30 pq + 9 q^{2}

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Frequently Asked Questions (FAQ)

What is expand (5p-3q)^2 ?
The solution to expand (5p-3q)^2 is 25p^2-30pq+9q^2