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) | Q 13 | Page 140

Evaluate :

−7x² + 18x² + 3x²− 5x²

Evaluate :

abx − 15abx − 10abx + 32abx

Evaluate :

7x − 9y + 3 − 3x − 5y + 8

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

Subtract : 4xy² from 3xy²

Subtract : a²+ ab + b² from 4a² − 3ab + 2b²

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 ?

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

If x = 6a + 8b + 9c ; y = 2b – 3a – 6c and z = c – b + 3a ; find :