What Must Be Added to X4 – X3 + X2 + X + 3 to Obtain X4 + X2 – 1 ?

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

Sum

x⁴ + x² – 1
+x⁴ – x³ + x² + x + 3
– + – – –
x³ – x – 4

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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 7 | Page 140

Evaluate :

abx − 15abx − 10abx + 32abx

Evaluate :

3x² + 5xy − 4y² + x² − 8xy − 5y²

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

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

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

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

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

How much more than 2x² + 4xy + 2y² is 5x² + 10xy – y² ?

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.