Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an
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Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is
We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is
Cancel out common factor.
Therefore, the simplified form of given expression is 3/5.
