Question

Simply the following

(5a^3)^2 / (25ab)^2

Answer 1

Answer:

(5a^3)^2/(25ab)^2=25a^6/625a^2b^2

=a^4/25b^2

Answer 2

Answer:

STEP

1

:

Equation at the end of step 1

(((5•(a3))•b)+((22•5a2)•b))+25ab

STEP

2

:

Equation at the end of step

2

:

((5a3 • b) + (22•5a2b)) + 25ab

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

5a3b + 20a2b + 25ab = 5ab • (a2 + 4a + 5)

Trying to factor by splitting the middle term

4.2 Factoring a2 + 4a + 5

The first term is, a2 its coefficient is 1 .

The middle term is, +4a its coefficient is 4 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 1 • 5 = 5

Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is 4 .

-5 + -1 = -6

-1 + -5 = -6

1 + 5 = 6

5 + 1 = 6