Evaluate: (6 − 5xy) (6 + 5xy)

Evaluate: (6 − 5xy) (6 + 5xy)

Sum

(6 − 5xy) (6 + 5xy)

= (6)²− (5xy)²

= 36 − 25x²y² .........[ ∵ (a − b) (a + b) = a²b²]

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

Chapter 12 Identities
Exercise 12 (D) | Q 2.03 | Page 155

Find the value of 4x² + y² + 25z² + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.

If a + b = 7 and ab = 12, find the value of a² + b²

Mark the correct alternative in each of the following:

If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]

Use the direct method to evaluate the following products :
(8 – b) (3 + b)

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

If p + q = 8 and p - q = 4, find:
p²+ q²

If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`

Simplify:
(3a + 2b - c)(9a² + 4b² + c² - 6ab + 2bc +3ca)

Simplify (2x – 5y)³ – (2x + 5y)³.

Prove that (a + b + c)³ – a³ – b³– c³ = 3(a + b)(b + c)(c + a).