What is 3(x-3)^2+5(x-3)+13 ?

The solution to 3(x-3)^2+5(x-3)+13 is 3x^2-13x+25

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simplify 3(x-3)^2+5(x-3)+13

simplify

3 (x - 3)^{2} + 5 (x - 3) + 13

3 x^{2} - 13 x + 25

Solution steps

3 (x - 3)^{2} + 5 (x - 3) + 13

Expand

3 (x - 3)^{2} : 3 x^{2} - 18 x + 27

= 3 x^{2} - 18 x + 27 + 5 (x - 3) + 13

Expand

5 (x - 3) : 5 x - 15

= 3 x^{2} - 18 x + 27 + 5 x - 15 + 13

Group like terms

= 3 x^{2} - 18 x + 5 x + 27 - 15 + 13

Add similar elements:

- 18 x + 5 x = - 13 x

= 3 x^{2} - 13 x + 27 - 15 + 13

Add the numbers:

27 - 15 + 13 = 25

= 3 x^{2} - 13 x + 25

- (- 14) (- 21)

3 a b^{2} - 6 a^{2} b

90 \cdot 7

γ (\frac{3}{2})