Evaluate: (1/2

Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`

Sum

`(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?

Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (C)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (C) | Q 3.03

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

Number 5 added to three times the product of numbers m and n.

Factorize the following expressions:

x3 + 6x² +12x +16

Factorize x³ -12x ( x - 4) - 64

`2sqrt2a^3 + 3sqrt3b^3 + c^3 - 3 sqrt6abc`

8x³ -125y³ +180xy + 216

If a + b + c = 9 and ab + bc + ca = 40, find a² + b² +c².

Evaluate: (8 - 12x + 7x² - 6x³)(5 - 2x)

Evaluate: (6p² - 8pq + 2q²) (- 5p)

In the formula, area of circle = πr², the numerical constant of the expression πr² is ______.

A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?

Evaluate: (1/2 "A" + 1/2 "B") (1/2 "A" - 1/2 "B")