What Must Be Subtracted from 19x4 + 2x3 + 30x – 37 to Get 8x4 + 22x3 – 7x – 60 ?

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

Sum

The required result will be
(19x⁴ + 2x³ + 30x – 37) − (8x⁴ + 22x³ – 7x – 60)

= 19x⁴ + 2x³ + 30x – 37 − 8x⁴ + 22x³ + 7x + 60

= 11x⁴ – 20x³ + 37x + 23

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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 13 | Page 140

Evaluate :

b²y − 9b²y + 2b²y − 5b²y

Evaluate :

7x − 9y + 3 − 3x − 5y + 8

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

Subtract : 3a − 5b + c + 2d from 7a − 3b + c − 2d

Subtract : 6a + 3 from a³ − 3a² + 4a + 1

Subtract : cab − 4cad − cbd from 3abc + 5bcd − cda

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

What must be added to x⁴ – x³ + x² + x + 3 to obtain x⁴ + x² – 1 ?

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.