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

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

Evaluate the following product without multiplying directly:

104 × 96

Expand the following, using suitable identity:

(x + 2y + 4z)²

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

Simplify the following

`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`

Use identities to evaluate : (998)²

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

Evaluate: (5xy − 7) (7xy + 9)

Find the squares of the following:

`(7x)/(9y) - (9y)/(7x)`

Evaluate, using (a + b)(a - b)= a² - b².
4.9 x 5.1

Expand the following:

(3a – 5b – c)²