Question

find the product: (ab-3/2cd) (2ab+3cd)

Answer 1

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Answer 2

Answer:

(2ab - 3cd) • (2ab + 3cd)

————————————-

2

Step-by-step explanation:

3

Simplify —

2

Equation at the end of step

1

:

3

(ab - ((— • c) • d)) • (2ab + 3cd)

2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

ab ab • 2

ab = —— = ——————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

ab • 2 - (3cd) 2ab - 3cd

————————— =

————

2 2

Equation at the end of step

2

:

(2ab - 3cd)

—————— • (2ab + 3cd)

2

STEP

3

:

Final result :

(2ab - 3cd) • (2ab + 3cd)

————————————-

2

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