What is (6y^2-9y+4)-(-7y^2+5y+1) ?

The solution to (6y^2-9y+4)-(-7y^2+5y+1) is 13y^2-14y+3

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simplify (6y^2-9y+4)-(-7y^2+5y+1)

simplify

(6 y^{2} - 9 y + 4) - (- 7 y^{2} + 5 y + 1)

13 y^{2} - 14 y + 3

Solution steps

(6 y^{2} - 9 y + 4) - (- 7 y^{2} + 5 y + 1)

Apply rule:

(a) = a

(6 y^{2} - 9 y + 4) = 6 y^{2} - 9 y + 4

= 6 y^{2} - 9 y + 4 - (- 7 y^{2} + 5 y + 1)

Apply the distributive law:

- (- a + b) = a - b

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

= 6 y^{2} - 9 y + 4 + 7 y^{2} - 5 y - 1

Group like terms

= 6 y^{2} + 7 y^{2} - 9 y - 5 y + 4 - 1

Add similar elements:

6 y^{2} + 7 y^{2} = 13 y^{2}

= 13 y^{2} - 9 y - 5 y + 4 - 1

Add similar elements:

- 9 y - 5 y = - 14 y

= 13 y^{2} - 14 y + 4 - 1

Subtract the numbers:

4 - 1 = 3

= 13 y^{2} - 14 y + 3

\frac{35}{7}

\frac{100}{25}

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

\frac{14}{35}

5 x + 5

What is (6y^2-9y+4)-(-7y^2+5y+1) ?
The solution to (6y^2-9y+4)-(-7y^2+5y+1) is 13y^2-14y+3