Simplify : (7x – 8) (3x + 2)

Simplify : (7x – 8) (3x + 2)

Sum

(7x – 8) (3x + 2) = 7x(3x + 2) −8(3x+ 2)

= 21x² + 14x – 24x – 16

= 21x² – 10x – 16

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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 3.1 | Page 143

Multiply: 6x³ − 5x + 10 by 4 − 3x²

Simplify : (4x – 5y) (5x – 4y)

The base and the altitude of a triangle are (3x – 4y) and (6x + 5y) respectively. Find its area.

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 (x⁵) × (3x²) × (-2x) for x = 1.

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

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

Multiply and then verify :
−3x²y² and (x – 2y) for x = 1 and y = 2.

Simplify : (5 – x) (6 – 5x) (2 -x).