Multiply: (-2x + 3y)(2x - 3y)

Sum

(- 2x + 3y)(2x - 3y)

⇒ - 2x (2x - 3y) + 3y(2x - 3y)

⇒ - 4x² + 6xy + 6xy - 9y²

⇒ - 4x² + 12xy - 9y²

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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 7.05

Factorize the following expressions

8x³ y³ + 27a³

(3x - 2 y)³ + (2 y - 4z )³ + (4z - 3x)³

`3sqrt3a^3 - b^3 - 5sqrt5c^3 - 3sqrt15abc`

If a² + b² + c² = 20 and a + b + c = 0, find ab + bc + ca.

The factors of x⁴ + x² + 25 are

Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`

Divide: 15x² + 31xy + 14y² by 5x + 7y

The area of a rectangle is 6x² – 4xy – 10y² square unit and its length is 2x + 2y unit. Find its breadth.

The variable in the expression 16x – 7 is __________

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.