Use the direct method to evaluate the following products :(3x – 2y) (2x + y)

Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)

Evaluate

(3x – 2y) (2x + y) = (3x × 2x) + (3x × y) + (−2y × 2x) + (−2y × y)

= 6x² + 3xy − 4xy − 2y²

= 6x² − xy − 2y²

shaalaa.com

Is there an error in this question or solution?

Chapter 12: Identities - Exercise 12 (A) [Page 150]

Chapter 12 Identities
Exercise 12 (A) | Q 1.5 | Page 150

Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`

If x + y + z = 0, show that x³ + y³ + z³ = 3xyz.

Find the cube of the following binomials expression :

\[\frac{1}{x} + \frac{y}{3}\]

Evaluate of the following:

111³ − 89³

Find the following product:

If a − b = 5 and ab = 12, find the value of a² + b²

If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]

If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]

Use the direct method to evaluate :
(4+5x) (4−5x)

If 2x + 3y = 10 and xy = 5; find the value of 4x² + 9y²