Evaluate: (9 − Y) (7 + Y)

Evaluate: (9 − y) (7 + y)

Sum

(9 − y) (7 + y) = 9(7 + y) − y (7 + y)

= 63 + 9y − 7y − y²

= 63 + 2y − y²

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Chapter 12: Identities - Exercise 12 (D) [Page 155]

Chapter 12 Identities
Exercise 12 (D) | Q 1.3 | Page 155

Simplify (a + b + c)² + (a - b + c)²

Simplify the following expressions:

`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`

If x = 3 and y = − 1, find the values of the following using in identify:

\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]

If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]

Find the square of 2a + b.

If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`

Simplify by using formula :
(x + y - 3) (x + y + 3)

If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`

If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.

Using suitable identity, evaluate the following:

101 × 102