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Popular >

factor (1-x)(7-x)+9

Solution

factor

(1 - x) (7 - x) + 9

Solution

(x - 4)^{2}

Solution steps

(1 - x) (7 - x) + 9

Expand

(1 - x) (7 - x) : 7 - 8 x + x^{2}

= 7 - 8 x + x^{2} + 9

Simplify

7 - 8 x + x^{2} + 9 : x^{2} - 8 x + 16

= x^{2} - 8 x + 16

Rewrite

x^{2} - 8 x + 16

as

x^{2} - 2 x \cdot 4 + 4^{2}

= x^{2} - 2 x \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

a = x, b = 4

= (x - 4)^{2}

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Frequently Asked Questions (FAQ)

What is factor (1-x)(7-x)+9 ?
The solution to factor (1-x)(7-x)+9 is (x-4)^2