Advertisements
Advertisements
Question
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Sum
Advertisements
Solution
`(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
`= 1/"2a" (1/2 "a" - 1/2"b") + 1/2"b"(1/2"a" - 1/2"b")`
`= 1/4 "a"^2 - 1/4"ab" + 1/4 "ab" - 1/4 "b"^2`
`= 1/4 "a"^2 - 1/4 "b"^2`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize x( x - 2)( x - 4) + 4x - 8
Factorize x2 - y2 - 4xz + 4z2
x3 - 8y3 + 27z3 +18xyz
125 + 8x3 - 27 y3 + 90xy
`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`
Evaluate: (a2 + 2ab + b2)(a + b)
Multiply: (2x + 5y + 6)(3x + y - 8)
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
Which of the following statements about polynomials is correct?
