Find the value of the following expression at a = 1 and b = -2: a² + b² + 3ab.
Solution:
Given, the expression is a² + b² + 3ab.
Also, a = 1 and b = -2.
We have to find the value of the expression.
a² + b² + 3ab = (1)² + (-2)² + 3(1)(-2)
= 1 + 4 + 3(-2)
= 5 - 6
= -1
Therefore, the value of the expression is -1.
✦ Try This: Find the value of the following expression at a = 1 and b = -1: a³ + b³ + 3ab(a+b).
Given, the expression is a³ + b³ + 3ab(a+b).
Also, a = 1 and b = -1.
We have to find the value of the expression.
a³ + b³ + 3ab(a+b) = (1)³ + (-1)³ + 3(1)(-1)(1 - 1)
= 1 - 1 + 3(-1)(0)
= 0 - 3(0)
= 0
Therefore, the value of the expression is 0.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Sample Problem 15
Find the value of the following expression at a = 1 and b = -2: a² + b² + 3ab.
Summary:
The value of the following expression a² + b² + 3ab at a = 1 and b = -2 is -1.
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