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Popular >

simplify (x-3)^2+8(x-3)+5

Solution

simplify

(x - 3)^{2} + 8 (x - 3) + 5

Solution

x^{2} + 2 x - 10

Solution steps

(x - 3)^{2} + 8 (x - 3) + 5

Expand

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

= x^{2} - 6 x + 9 + 8 (x - 3) + 5

Expand

8 (x - 3) : 8 x - 24

= x^{2} - 6 x + 9 + 8 x - 24 + 5

Group like terms

= x^{2} - 6 x + 8 x + 9 - 24 + 5

Add similar elements:

- 6 x + 8 x = 2 x

= x^{2} + 2 x + 9 - 24 + 5

Add the numbers:

9 - 24 + 5 = - 10

= x^{2} + 2 x - 10

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Frequently Asked Questions (FAQ)

What is (x-3)^2+8(x-3)+5 ?
The solution to (x-3)^2+8(x-3)+5 is x^2+2x-10