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Popular >

factor (7p+9)^2-252p

Solution

factor

(7 p + 9)^{2} - 252 p

Solution

(7 p - 9)^{2}

Solution steps

(7 p + 9)^{2} - 252 p

(7 p + 9)^{2} : 49 p^{2} + 126 p + 81

= 49 p^{2} + 126 p + 81 - 252 p

Simplify

49 p^{2} + 126 p + 81 - 252 p : 49 p^{2} - 126 p + 81

= 49 p^{2} - 126 p + 81

Rewrite

49 p^{2} - 126 p + 81

as

(7 p)^{2} - 2 \cdot 7 p \cdot 9 + 9^{2}

= (7 p)^{2} - 2 \cdot 7 p \cdot 9 + 9^{2}

Apply Perfect Square Formula:

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

a = 7 p, b = 9

= (7 p - 9)^{2}

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Frequently Asked Questions (FAQ)

What is factor (7p+9)^2-252p ?
The solution to factor (7p+9)^2-252p is (7p-9)^2