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

The solution to 3(x-5)^2+2(x-5) is 3x^2-28x+65

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

simplify

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

3 x^{2} - 28 x + 65

Solution steps

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

Expand

3 (x - 5)^{2} : 3 x^{2} - 30 x + 75

= 3 x^{2} - 30 x + 75 + 2 (x - 5)

Expand

2 (x - 5) : 2 x - 10

= 3 x^{2} - 30 x + 75 + 2 x - 10

Group like terms

= 3 x^{2} - 30 x + 2 x + 75 - 10

Add similar elements:

- 30 x + 2 x = - 28 x

= 3 x^{2} - 28 x + 75 - 10

Subtract the numbers:

75 - 10 = 65

= 3 x^{2} - 28 x + 65

\frac{120}{36}

4^{2.2}

lo g_{0.05} (400)