Simplify the expression (0.3−0.2)(0.3
2
+0.3×0.2+0.2
2
).
- A0.035
- B0.027
- C0.019
- D0.053
Solution & Step-by-step Explanation
The given expression is of the standard algebraic identity form:
(a−b)(a
2
+ab+b
2
)=a
3
−b
3
Here, let a=0.3 and b=0.2.
Substituting these values into the identity:
(0.3−0.2)(0.3
2
+0.3×0.2+0.2
2
)=0.3
3
−0.2
3
=0.027−0.008
=0.019
(a−b)(a
2
+ab+b
2
)=a
3
−b
3
Here, let a=0.3 and b=0.2.
Substituting these values into the identity:
(0.3−0.2)(0.3
2
+0.3×0.2+0.2
2
)=0.3
3
−0.2
3
=0.027−0.008
=0.019