Simplify : (Px – Q) (Px + Q)

Simplify : (px – q) (px + q)

Sum

(px – q) (px + q) = px(px + q) – q(px + q)

= p²x² + pxq – pqx – q²

= p²x² – q²

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Multiplying a Polynomial by a Polynomial

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Chapter 11: Algebraic Expressions - Exercise 11 (C) [Page 143]

Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 3.2 | Page 143

Multiply: 2y − 4y³ + 6y⁵ by y² + y − 3

Multiply:

5p²+ 25pq + 4q² by 2p² − 2pq +3q²

Simplify : (7x – 8) (3x + 2)

Simplify : (4x – 5y) (5x – 4y)

The adjacent sides of a rectangle are x² – 4xy + 7y² and x³ – 5xy². Find its area.

Find the value of (3x³) × (-5xy²) × (2x²yz³) for x = 1, y = 2 and z = 3.

Evaluate (3x⁴y²) (2x²y³) for x = 1 and y = 2.

Evaluate (x⁵) × (3x²) × (-2x) for x = 1.

Evaluate: (2x – 5y)(2x + 3y) for x = 2 and y = 3.

Multiply: 2x² – 4x + 5 by x² + 3x – 7