Question

Q3. Solve the following questions :-
1) Simplify :- (5x + 3y)3 – (5x – 3y )3​

Answer 1

Answer

We have,

(5x−3y)

3

We know that

(a−b)

3

=a

3

−b

3

−3ab(a−b)

Therefore,

(5x−3y)

3

=(5x)

3

−(3y)

2

−3×5x×3y(5x−3y)

(5x−3y)

3

=125x

3

−27y

3

−45xy(5x−3y)

(5x−3y)

3

=125x

3

−27y

3

−225x

2

y+135xy

2

Hence, this is the answer

Answer 2

Answer :-

(5x + 3y)³ – (5x – 3y )³

125x³ + 27y³ - 225x²y + 135xy²) - (125x³ - 27y³ - 225x²y + 135xy²)

125x³ - 27y³ - 225x²y + 135xy² - 125x³ + 27y³ + 225x²y - 135xy²

0 (zero)