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.

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Chapter 4: Expansions - Exercise 4.2

Chapter 4 Expansions
Exercise 4.2 | Q 24.07

Expand the following, using suitable identity:

(–2x + 5y – 3z)²

Simplify the following products:

`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`

Write in the expanded form:

(2a - 3b - c)²

Write in the expanded form: `(x + 2y + 4z)^2`

If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].

If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]

Evaluate: `(2"x"-3/5)(2"x"+3/5)`

Simplify by using formula :
(5x - 9) (5x + 9)

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`

Simplify (2x – 5y)³ – (2x + 5y)³.