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

Factorise:

4x² + 9y² + 16z² + 12xy – 24yz – 16xz

Factorise the following:

64m³ – 343n³

Find the following product:

(3x − 4y + 5z) (9x² +16y²+ 25z² + 12xy −15zx + 20yz)

If the volume of a cuboid is 3x² − 27, then its possible dimensions are

Evaluate : (4a +3b)² - (4a - 3b)² + 48ab.

If a + b = 7 and ab = 10; find a - b.

If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`

If a + b + c = 9 and ab + bc + ca = 26, find a² + b² + c².

Simplify (2x – 5y)³ – (2x + 5y)³.