Multiply: (2x + 5y + 6)(3x + Y - 8) - Mathematics

Multiply: (2x + 5y + 6)(3x + y - 8)

Sum

(2x + 5y + 6)(3x + y - 8)

⇒ 2x (3x + y - 8) + 5y(3x + y - 8) + 6 (3x + y - 8)

⇒ 6x² + 2xy - 16x + 15xy + 5y² - 40y + 18x + 6y - 48

⇒ 6x² + 2xy + 15xy - 16x + 18x + 5y² - 40y + 6y - 48

⇒ 6x² + 17xy + 2x + 5y² - 34y - 48

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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (C)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (C) | Q 7.08

Factorize (x + 2)(x² + 25) -10x² - 20x

Factorize `x^2 + 5sqrt5x + 30`

Factorize `21x^2 - 2x + 1/21`

Given possible expressions for the length and breadth of the rectangle having 35y² + 13y – 12 as its area.

Factorize the following expressions

8x³ y³ + 27a³

Factorize 8a³+ 27b³ + 36a²b + 54ab²

Divide: x⁵ - 15x⁴ - 10x² by -5x²

Divide: 12a² + ax - 6x² by 3a - 2x

Write in the form of an algebraic expression:

Surface area of a cube is six times the square of its edge.

In the given figure, the length of a green side is given by g and that of the red side is given by p.

Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.