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Popular >

simplify (x-2)^2+9(x-2)+4

Solution

simplify

(x - 2)^{2} + 9 (x - 2) + 4

Solution

x^{2} + 5 x - 10

Solution steps

(x - 2)^{2} + 9 (x - 2) + 4

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + 9 (x - 2) + 4

Expand

9 (x - 2) : 9 x - 18

= x^{2} - 4 x + 4 + 9 x - 18 + 4

Group like terms

= x^{2} - 4 x + 9 x + 4 + 4 - 18

Add similar elements:

- 4 x + 9 x = 5 x

= x^{2} + 5 x + 4 + 4 - 18

Add the numbers:

4 + 4 - 18 = - 10

= x^{2} + 5 x - 10

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Frequently Asked Questions (FAQ)

What is (x-2)^2+9(x-2)+4 ?
The solution to (x-2)^2+9(x-2)+4 is x^2+5x-10