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 :

b²y − 9b²y + 2b²y − 5b²y

Evaluate :

abx − 15abx − 10abx + 32abx

Add : a − 3b + 3; 2a + 5 − 3c; 6c − 15 + 6b

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

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

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

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

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