The Two Adjacent Sides of a Rectangle Are 2x2 – 5xy + 3z2 and 4xy – X2 – Z2. Find Its Perimeter.

The two adjacent sides of a rectangle are 2x² – 5xy + 3z² and 4xy – x² – z². Find its perimeter.

Sum

Adjacent sides of a rectangle are 2x² – 5xy + 3z² and 4xy – x² – z²

∴ Perimeter = 2(2x² – 5xy + 3z² + 4xy – x² – z²)

= 4x² – 10xy + 6z² + 8xy – 2x² – 2z²

= 2x² – 2xy + 4z²

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Combining like Terms

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Chapter 11: Algebraic Expressions - Exercise 11 (B) [Page 140]

Chapter 11 Algebraic Expressions
Exercise 11 (B) | Q 12 | Page 140

Evaluate :

abx − 15abx − 10abx + 32abx

Evaluate :

3x² + 5xy − 4y² + x² − 8xy − 5y²

Add : x³ − x²y + 5xy² + y³, - x³ − 9xy² + y³, 3x²y + 9xy²

Find the total savings of a boy who saves ₹ (4x – 6y), ₹ (6x + 2y), ₹ (4y – x) and ₹ (y – 2x) for four consecutive weeks.

Take away – 3x³ + 4x² – 5x+ 6 from 3x³ – 4x² + 5x – 6

Subtract the sum of 5y² + y – 3 and y² – 3y + 7 from 6y² + y – 2.

The sides of a triangle are x² – 3xy + 8, 4x² + 5xy – 3 and 6 – 3x² + 4xy. Find its perimeter.

The perimeter of a triangle is 8y² – 9y + 4 and its two sides are 3y² – 5y and 4y² + 12. Find its third side.

What must be subtracted from 19x⁴ + 2x³ + 30x – 37 to get 8x⁴ + 22x³ – 7x – 60 ?

How much smaller is 15x – 18y + 19z than 22x – 20y – 13z + 26 ?