Question

7x^2y - 28xy^3 + 14xy^2 = ?

Answer 1

7xy • (x - 4y2 + 2y)

Explanation:

STEP 1: Equation at the end of step 1

(((7•(x2))•y)-(28x•(y3)))+(2•7xy2)

STEP 2 :

Equation at the end of step 2:

(((7 • (x2)) • y) - (22•7xy3)) + (2•7xy2)

STEP 3 :

Equation at the end of step 3:

((7x2 • y) - (22•7xy3)) + (2•7xy2)

STEP 4:

STEP 5: Pulling out like terms

5.1 Pull out like factors :

7x2y - 28xy3 + 14xy2 = 7xy • (x - 4y2 + 2y)

Trying to factor a multi variable polynomial :

5.2 Factoring x - 4y2 + 2y

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

Factorization fails

Final result :

7xy • (x - 4y2 + 2y)

Answer 2

Answer: 7x • (x + 2y2 - 4y)

Explanation:

1. ((7 • (x2)) + (2•7xy2)) - 28xy

2. (7x2 + (2•7xy2)) - 28xy

3. Pull out like factors :

7x2 + 14xy2 - 28xy = 7x • (x + 2y2 - 4y)

4. Factoring x + 2y2 - 4y

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

The factorization then fails so your final answer would be left simplified at

7x • (x + 2y2 - 4y)