What is simplify-(2a+3b-4)+(a-2b+5)-(4a-7b-6) ?

The solution to simplify-(2a+3b-4)+(a-2b+5)-(4a-7b-6) is -5a+2b+15

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simplify-(2a+3b-4)+(a-2b+5)-(4a-7b-6)

simplify

- (2 a + 3 b - 4) + (a - 2 b + 5) - (4 a - 7 b - 6)

- 5 a + 2 b + 15

Solution steps

- (2 a + 3 b - 4) + (a - 2 b + 5) - (4 a - 7 b - 6)

Apply rule:

a + (b + c) = a + b + c

- (2 a + 3 b - 4) + (a - 2 b + 5) = - (2 a + 3 b - 4) + a - 2 b + 5

= - (2 a + 3 b - 4) + a - 2 b + 5 - (4 a - 7 b - 6)

- (2 a + 3 b - 4) = - 2 a - 3 b + 4

- (4 a - 7 b - 6) = - 4 a + 7 b + 6

= - 2 a - 3 b + 4 + a - 2 b + 5 - 4 a + 7 b + 6

Group like terms

= - 2 a + a - 4 a - 3 b - 2 b + 7 b + 4 + 5 + 6

Add similar elements:

- 2 a + a - 4 a = - 5 a

= - 5 a - 3 b - 2 b + 7 b + 4 + 5 + 6

Add similar elements:

- 3 b - 2 b + 7 b = 2 b

= - 5 a + 2 b + 4 + 5 + 6

Add the numbers:

4 + 5 + 6 = 15

= - 5 a + 2 b + 15

\frac{x ^{3} - 9 x}{x ^{2} + 10 x + 21} \cdot \frac{x ^{2} + 7 x}{x ^{2} + 5 x - 24}

(- 2 x + 2)^{2}

(2 x - 3) (x + 7)

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

2 x (2 x)

What is simplify-(2a+3b-4)+(a-2b+5)-(4a-7b-6) ?
The solution to simplify-(2a+3b-4)+(a-2b+5)-(4a-7b-6) is -5a+2b+15