What is (-3x-10)^2+6(-3x-10)+8 ?

The solution to (-3x-10)^2+6(-3x-10)+8 is 9x^2+42x+48

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simplify (-3x-10)^2+6(-3x-10)+8

simplify

(- 3 x - 10)^{2} + 6 (- 3 x - 10) + 8

9 x^{2} + 42 x + 48

Solution steps

(- 3 x - 10)^{2} + 6 (- 3 x - 10) + 8

Expand

(- 3 x - 10)^{2} : 9 x^{2} + 60 x + 100

= 9 x^{2} + 60 x + 100 + 6 (- 3 x - 10) + 8

Expand

6 (- 3 x - 10) : - 18 x - 60

= 9 x^{2} + 60 x + 100 - 18 x - 60 + 8

Group like terms

= 9 x^{2} + 60 x - 18 x + 100 - 60 + 8

Add similar elements:

60 x - 18 x = 42 x

= 9 x^{2} + 42 x + 100 - 60 + 8

Add the numbers:

100 - 60 + 8 = 48

= 9 x^{2} + 42 x + 48

x (3 x^{2} - 4 x - 4)

2 (4 - 3 i) + 4 (- 2 + 3 i)

- 5 (5 x - 4)

\frac{1}{4} \cdot 36

lo g_{25} (0.008)

What is (-3x-10)^2+6(-3x-10)+8 ?
The solution to (-3x-10)^2+6(-3x-10)+8 is 9x^2+42x+48