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Popular >

expand (7p-4q)^2

Solution

expand

(7 p - 4 q)^{2}

Solution

49 p^{2} - 56 pq + 16 q^{2}

Solution steps

(7 p - 4 q)^{2}

Apply Perfect Square Formula:

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

(7 p - 4 q)^{2} = (7 p)^{2} - 2 \cdot 7 p \cdot 4 q + (4 q)^{2}

= (7 p)^{2} - 2 \cdot 7 p \cdot 4 q + (4 q)^{2}

Simplify

(7 p)^{2} - 2 \cdot 7 p \cdot 4 q + (4 q)^{2} : 49 p^{2} - 56 pq + 16 q^{2}

= 49 p^{2} - 56 pq + 16 q^{2}

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Frequently Asked Questions (FAQ)

What is expand (7p-4q)^2 ?
The solution to expand (7p-4q)^2 is 49p^2-56pq+16q^2