Question

45a^2b/30ab simplest form​

Answer 1

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

(30a • (b2)) - ((32•5a2) • b)

STEP

2

:

Equation at the end of step

2

:

(2•3•5ab2) - (32•5a2b)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

30ab2 - 45a2b = -15ab • (3a - 2b)

Final result :

-15ab • (3a - 2b)

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Answer 2

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \frac{45 {a}^{2} b}{30ab} }$

EVALUATION

Here the given expression is

$\displaystyle \sf{ \frac{45 {a}^{2} b}{30ab} }$

We simplify it as below

$\displaystyle \sf{ \frac{45 {a}^{2} b}{30ab} }$

$\displaystyle \sf{ = \frac{3 \times 3 \times 5 \times a \times a \times b}{2 \times3 \times 5 \times a \times b} }$

$\displaystyle \sf{ = \frac{3 \times a }{2 } }$

$\displaystyle \sf{ = \frac{3 a }{2 } }$

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