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

The solution to 3(5x^3+2x^2-5)-(x^2-5) is 15x^3+5x^2-10

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

simplify

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

15 x^{3} + 5 x^{2} - 10

Solution steps

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Expand

3 (5 x^{3} + 2 x^{2} - 5) : 15 x^{3} + 6 x^{2} - 15

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

Group like terms

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

Add similar elements:

6 x^{2} - x^{2} = 5 x^{2}

= 15 x^{3} + 5 x^{2} - 15 + 5

Add the numbers:

- 15 + 5 = - 10

= 15 x^{3} + 5 x^{2} - 10

x^{4} + \frac{1}{2} + \frac{1}{16 x ^{4}}

\frac{4 ^{- 7}}{4 ^{- 10}}

4 x^{2} \times 2

16 x^{14}

- 4 x^{2} - 3 + 4 + 3 - 5 y^{2} + 3 y^{2} - 5 y^{2}

What is 3(5x^3+2x^2-5)-(x^2-5) ?
The solution to 3(5x^3+2x^2-5)-(x^2-5) is 15x^3+5x^2-10