What is (x+2)^3+(x-4)^2+5(x-3) ?

The solution to (x+2)^3+(x-4)^2+5(x-3) is x^3+7x^2+9x+9

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simplify (x+2)^3+(x-4)^2+5(x-3)

simplify

(x + 2)^{3} + (x - 4)^{2} + 5 (x - 3)

x^{3} + 7 x^{2} + 9 x + 9

Solution steps

(x + 2)^{3} + (x - 4)^{2} + 5 (x - 3)

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

= x^{3} + 6 x^{2} + 12 x + 8 + (x - 4)^{2} + 5 (x - 3)

Expand

(x - 4)^{2} : x^{2} - 8 x + 16

= x^{3} + 6 x^{2} + 12 x + 8 + x^{2} - 8 x + 16 + 5 (x - 3)

Expand

5 (x - 3) : 5 x - 15

= x^{3} + 6 x^{2} + 12 x + 8 + x^{2} - 8 x + 16 + 5 x - 15

Group like terms

= x^{3} + 6 x^{2} + x^{2} + 12 x - 8 x + 5 x + 8 + 16 - 15

Add similar elements:

6 x^{2} + x^{2} = 7 x^{2}

= x^{3} + 7 x^{2} + 12 x - 8 x + 5 x + 8 + 16 - 15

Add similar elements:

12 x - 8 x + 5 x = 9 x

= x^{3} + 7 x^{2} + 9 x + 8 + 16 - 15

Add the numbers:

8 + 16 - 15 = 9

= x^{3} + 7 x^{2} + 9 x + 9

6 (4 x - y)

\frac{( 4 v ^{5} ) ^{3}}{- 2 v ^{- 2}}

6 \frac{7}{8}

\frac{5}{2} + \frac{7}{2}

x^{3} - 125 a^{6}

What is (x+2)^3+(x-4)^2+5(x-3) ?
The solution to (x+2)^3+(x-4)^2+5(x-3) is x^3+7x^2+9x+9