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

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

Sum

The required result is
(22x – 20y – 13z + 26) – (15x – 18y + 19z)

= 22x – 20y – 13z + 26 – 15x + 18y – 19z

= 7x – 2y – 32z + 26

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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 14 | Page 140

Evaluate :

−7x² + 18x² + 3x²− 5x²

Add : 8x − 3y + 7z, −4x + 5y − 4z, −x − y − 2z

Add : 3b − 7c + 10, 5c − 2b − 15, 15 + 12c + b

Add : 13ab − 9cd − xy, 5xy, 15cd − 7ab, 6xy − 3cd

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

Subtract : −2x²y + 3xy²from 8x²y

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.

How much less 2a² + 1 is than 3a² – 6 ?

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