Simplify: (a + b)² − (a − b)²
4ab
(a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b².
Subtracting: (a² + 2ab + b²) − (a² − 2ab + b²) = 4ab.
Hence, the answer is 4ab.
Similar Questions
(x + 3)² is equal to:
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Simplify the following expression.
\((2x + 3y)^{2} - (2x - 3y)^{2} + 12xy\)
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Important Questions from Algebra
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. x2 – 26x + 165 = 0
II. y2 – 38y + 357 = 0
Factorize the following:
(x 2- 6xy + 9y 2) - 25
If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that
AP = PQ = QB, then the mid point of PQ is
If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?
If 3x + 2y = 15, and xy = 6. Find the value of (3x3/2) + (4y3/9).
