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The expression a2 + ab + b2 is _________for a < 0, b < 0
- a)≠ 0
- b)<0
- c)> 0
- d)= 0
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The expression a2 + ab + b2 is _________for a < 0, b < 0a)X...
For a, b negative the given expression will always be positive since, a2, b2 and ab are all positive.
Most Upvoted Answer
The expression a2 + ab + b2 is _________for a < 0, b < 0a)X...
Given expression: a2 + ab + b2
To find the value of the expression when a = 0 and b = 0,
Substituting the values in the expression, we get:
a2 + ab + b2 = 02 + 0(0) + 02
= 0 + 0 + 0
= 0
Therefore, the expression a2 + ab + b2 is equal to 0 when a = 0 and b = 0.
Explanation:
The expression a2 + ab + b2 can be factorized as follows:
a2 + ab + b2 = (a + b)2 - ab
When a = 0 and b = 0, the expression becomes:
(0 + 0)2 - 0(0) = 0
Thus, the expression evaluates to 0 when both a and b are 0.
Conclusion:
The expression a2 + ab + b2 is equal to 0 when both a and b are 0. This property is important in algebraic manipulations involving quadratic expressions.
To find the value of the expression when a = 0 and b = 0,
Substituting the values in the expression, we get:
a2 + ab + b2 = 02 + 0(0) + 02
= 0 + 0 + 0
= 0
Therefore, the expression a2 + ab + b2 is equal to 0 when a = 0 and b = 0.
Explanation:
The expression a2 + ab + b2 can be factorized as follows:
a2 + ab + b2 = (a + b)2 - ab
When a = 0 and b = 0, the expression becomes:
(0 + 0)2 - 0(0) = 0
Thus, the expression evaluates to 0 when both a and b are 0.
Conclusion:
The expression a2 + ab + b2 is equal to 0 when both a and b are 0. This property is important in algebraic manipulations involving quadratic expressions.
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