What is (5a^2+8ab-21b^2)/(a+3b) ?

The solution to (5a^2+8ab-21b^2)/(a+3b) is 5a-7b

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simplify (5a^2+8ab-21b^2)/(a+3b)

simplify

\frac{5 a ^{2} + 8 ab - 21 b ^{2}}{a + 3 b}

5 a - 7 b

Solution steps

\frac{5 a ^{2} + 8 ab - 21 b ^{2}}{a + 3 b}

Factor

5 a^{2} + 8 ab - 21 b^{2} : (5 a - 7 b) (a + 3 b)

= \frac{( 5 a - 7 b ) ( a + 3 b )}{a + 3 b}

Cancel the common factor:

a + 3 b

= 5 a - 7 b

2 (\frac{1}{3})^{x} - 1

2 x (5 x - 2)

- y^{2} + 4 y - 4

2 x + 8 y

(x^{3} - x^{2} + 4) - (3 x^{3} - 2 x^{2} + 3)

What is (5a^2+8ab-21b^2)/(a+3b) ?
The solution to (5a^2+8ab-21b^2)/(a+3b) is 5a-7b