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: 6x³ − 5x + 10 by 4 − 3x²

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Simplify : (3y + 4z) (3y – 4z) + (2y + 7z) (y + z)

Multiply -4xy³ and 6x²y and verify your result for x = 2 and y= 1.

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: xy²(x – 5y) + 1 for x = 2 and y = 1.

Multiply: (ab – 1) (3 – 2ab)