What is (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4) ?

The solution to (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4) is -x^5+7x^3+11x^2+10x-4

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simplify (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)

simplify

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)

- x^{5} + 7 x^{3} + 11 x^{2} + 10 x - 4

Solution steps

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)

Apply rule:

(a) = a

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) = 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x

= 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x - (9 x^{5} - x^{3} - 13 x^{2} + 4)

Apply the distributive law:

- (a - b) = - a + b

- (9 x^{5} - x^{3} - 13 x^{2} + 4) = - 9 x^{5} + x^{3} + 13 x^{2} - 4

= 8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x - 9 x^{5} + x^{3} + 13 x^{2} - 4

Group like terms

= 8 x^{5} - 9 x^{5} + 6 x^{3} + x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Add similar elements:

8 x^{5} - 9 x^{5} = - x^{5}

= - x^{5} + 6 x^{3} + x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Add similar elements:

6 x^{3} + x^{3} = 7 x^{3}

= - x^{5} + 7 x^{3} - 2 x^{2} + 13 x^{2} + 10 x - 4

Add similar elements:

- 2 x^{2} + 13 x^{2} = 11 x^{2}

= - x^{5} + 7 x^{3} + 11 x^{2} + 10 x - 4

(x^{m} - y^{n})^{2}

\frac{x ^{2} + 6 x + 9}{2 x ^{2} + 8 x + 6}

f (x + 1)

\frac{1}{16}

(x - 1) (3 x^{2} + 7 x + 5)

What is (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4) ?
The solution to (8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4) is -x^5+7x^3+11x^2+10x-4