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

Factorise the following using appropriate identity:

`x^2 - y^2/100`

If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`

Simplify the following products:

`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`

Find the cube of the following binomials expression :

\[\frac{3}{x} - \frac{2}{x^2}\]

If a + b = 10 and ab = 21, find the value of a³ + b³

If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]

If a¹^/3 + b¹^/3 + c¹^/3 = 0, then

Evalute : `( 7/8x + 4/5y)^2`

Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)

Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`