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Popular >

simplify (x-3)^2+5(x-3)+9

Solution

simplify

(x - 3)^{2} + 5 (x - 3) + 9

Solution

x^{2} - x + 3

Solution steps

(x - 3)^{2} + 5 (x - 3) + 9

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x^{2} - 6 x + 9 + 5 (x - 3) + 9

Expand

5 (x - 3) : 5 x - 15

= x^{2} - 6 x + 9 + 5 x - 15 + 9

Group like terms

= x^{2} - 6 x + 5 x + 9 + 9 - 15

Add similar elements:

- 6 x + 5 x = - x

= x^{2} - x + 9 + 9 - 15

Add the numbers:

9 + 9 - 15 = 3

= x^{2} - x + 3

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Frequently Asked Questions (FAQ)

What is (x-3)^2+5(x-3)+9 ?
The solution to (x-3)^2+5(x-3)+9 is x^2-x+3