What is (2x^5y-2xy-1)-(8x^5y+2xy+7xy^2-5) ?

The solution to (2x^5y-2xy-1)-(8x^5y+2xy+7xy^2-5) is -6x^5y-4xy-7xy^2+4

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simplify (2x^5y-2xy-1)-(8x^5y+2xy+7xy^2-5)

simplify

(2 x^{5} y - 2 x y - 1) - (8 x^{5} y + 2 x y + 7 x y^{2} - 5)

- 6 x^{5} y - 4 x y - 7 x y^{2} + 4

Solution steps

(2 x^{5} y - 2 x y - 1) - (8 x^{5} y + 2 x y + 7 x y^{2} - 5)

Apply rule:

(a) = a

(2 x^{5} y - 2 x y - 1) = 2 x^{5} y - 2 x y - 1

= 2 x^{5} y - 2 x y - 1 - (8 x^{5} y + 2 x y + 7 x y^{2} - 5)

Apply the distributive law:

- (a + b) = - a - b

- (8 x^{5} y + 2 x y + 7 x y^{2} - 5) = - 8 x^{5} y - 2 x y - 7 x y^{2} + 5

= 2 x^{5} y - 2 x y - 1 - 8 x^{5} y - 2 x y - 7 x y^{2} + 5

Group like terms

= 2 x^{5} y - 8 x^{5} y - 2 x y - 2 x y - 7 x y^{2} - 1 + 5

Add similar elements:

2 x^{5} y - 8 x^{5} y = - 6 x^{5} y

= - 6 x^{5} y - 2 x y - 2 x y - 7 x y^{2} - 1 + 5

Add similar elements:

- 2 x y - 2 x y = - 4 x y

= - 6 x^{5} y - 4 x y - 7 x y^{2} - 1 + 5

Add the numbers:

- 1 + 5 = 4

= - 6 x^{5} y - 4 x y - 7 x y^{2} + 4

- 3 - (- 12)

2 - 40

\frac{12 x ^{6}}{42 x ^{4}}

x^{4} - 14 x^{3} + 13 x^{2}

(27 x)^{\frac{1}{3}}

What is (2x^5y-2xy-1)-(8x^5y+2xy+7xy^2-5) ?
The solution to (2x^5y-2xy-1)-(8x^5y+2xy+7xy^2-5) is -6x^5y-4xy-7xy^2+4