What is factor 5x^2+24x+16 ?

The solution to factor 5x^2+24x+16 is (5x+4)(x+4)

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factor 5x^2+24x+16

factor

5 x^{2} + 24 x + 16

(5 x + 4) (x + 4)

Solution steps

5 x^{2} + 24 x + 16

Break the expression into groups

= (5 x^{2} + 4 x) + (20 x + 16)

Factor out

x

from

5 x^{2} + 4 x : x (5 x + 4)

Factor out

4

from

20 x + 16 : 4 (5 x + 4)

= x (5 x + 4) + 4 (5 x + 4)

Factor out common term

5 x + 4

= (5 x + 4) (x + 4)

\frac{30}{10}

4 \cdot (- 1)

17 \times 5

\frac{- 1 + 6}{1 - 2}

3 \times 14