Find the value of the following expression at a = 1 and b = -2: a³ + a²b + ab² + b³.
Solution:
Given, the expression is a³ + a²b + ab² + b³.
Also, a = 1 and b = -2.
We have to find the value of the expression.
a³ + a²b + ab² + b³ = (1)³ + (1)²(-2) + (1)(-2)² + (-2)³
= 1 - 2 + 4 - 8
= 5 - 10
= -5
Therefore, the value of the expression is -5.
✦ Try This: Find the value of the following expression at a = 1 and b = -1: a² + a²b + ab² + b².
Given, the expression is a² + a²b + ab² + b².
Also, a = 1 and b = -1.
We have to find the value of the expression.
a² + a²b + ab² + b² = (1)² + (1)²(-1) + (1)(-1)² + (-1)²
= 1 - 1 + 1 + 1
= 3 - 1
= 2
Therefore, the value of the expression is 2.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Sample Problem 16
Find the value of the following expression at a = 1 and b = -2: a³ + a²b + ab² + b³.
Summary:
The value of the following expression a³ + a²b + ab² + b³ at a = 1 and b = -2 is -5.
☛ Related Questions:
visual curriculum