What is factor 6r^2+11rp-35p^2 ?

The solution to factor 6r^2+11rp-35p^2 is (3r-5p)(2r+7p)

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factor 6r^2+11rp-35p^2

factor

6 r^{2} + 11 r p - 35 p^{2}

(3 r - 5 p) (2 r + 7 p)

Solution steps

6 r^{2} + 11 r p - 35 p^{2}

Break the expression into groups

= (6 r^{2} - 10 r p) + (21 r p - 35 p^{2})

Factor out

2 r

from

6 r^{2} - 10 r p : 2 r (3 r - 5 p)

Factor out

7 p

from

21 r p - 35 p^{2} : 7 p (3 r - 5 p)

= 2 r (3 r - 5 p) + 7 p (3 r - 5 p)

Factor out common term

3 r - 5 p

= (3 r - 5 p) (2 r + 7 p)

5^{4} \cdot 5^{2}

2 - x = 4

\frac{x + 3}{x + 6} \leq 5

6 (x - 3)^{2} - 13 (x - 3) - 5 = 0

\frac{- 1 x - 3}{- 2} = 7

What is factor 6r^2+11rp-35p^2 ?
The solution to factor 6r^2+11rp-35p^2 is (3r-5p)(2r+7p)