Simplify : (4x – 5y) (5x – 4y)

Simplify : (4x – 5y) (5x – 4y)

Sum

(4x – 5y) (5x – 4y)

= 4x(5x – 4y) – 5y(5x – 4y)

= 20x² – 16xy – 25xy + 20y²

= 20x² – 41xy + 20y²

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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 3.4 | Page 143

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: (3x – 2)(x + 5) for x = 2.

Evaluate: x(x – 5) + 2 for x = 1.

Evaluate: 2x(3x – 5) – 5(x – 2) – 18 for x = 2.

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

Multiply: 2x² – 4x + 5 by x² + 3x – 7

Multiply: (ab – 1) (3 – 2ab)