Question

Algebraic fractions simplification:

Q:) c^2+2cd-15d^2/4c^2+20cd

Answer 1

Step-by-step explanation:

:

Equation at the end of step 1

STEP

2

:

Equation at the end of step

2

:

STEP

3

:

c2 + 2cd - 15d2

Simplify ———————————————

4c2 + 20cd

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4c2 + 20cd = 4c • (c + 5d)

Trying to factor a multi variable polynomial :

4.2 Factoring c2 + 2cd - 15d2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (c + 5d)•(c - 3d)

Canceling Out :

4.3 Cancel out (c+5d) which appears on both sides of the fraction line.

Final result :

c - 3d

——————

4c