Simplify: (2x + Y)(4x2 - 2xy + Y2)

Simplify:
(2x + y)(4x² - 2xy + y²)

Sum

(2x + y)(4x² - 2xy + y²)
= 2x(4x² - 2xy + y²) + y(4x² - 2xy + y²)
= 8x³ - 4x²y + 2xy² + 4x²y - 2xy² + y2
= 8x³ + y³.

shaalaa.com

Is there an error in this question or solution?

Chapter 3: Expansions - Exercise 4.2

Chapter 3 Expansions
Exercise 4.2 | Q 24.07

Give possible expression for the length and breadth of the following rectangle, in which their area are given:

What are the possible expressions for the dimensions of the cuboids whose volume is given below?

Simplify (a + b + c)² + (a - b + c)² + (a + b - c)²

If a² + b² + c² = 16 and ab + bc + ca = 10, find the value of a + b + c.

If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]

Find the following product:

\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]

If a + b = 8 and ab = 6, find the value of a³ + b³

Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.

Evaluate: (9 − y) (7 + y)

If a + b + c = 5 and ab + bc + ca = 10, then prove that a³ + b³ + c³ – 3abc = – 25.