Algebraic Expressions 14

Algebraic Expressions 14

• Subtraction of Polynomials
• What’s Next?

In the previous segment, we learnt how to add two polynomials. In this segment, we will learn how to subtract one polynomial from another.

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How to subtract one polynomial from another?

Polynomials can be subtracted similar to simplifying algebraic expressions. That is, group the like terms, solve the groups, and arrange the terms in descending order of exponents, to get the solution.

The signs of all the terms of the polynomial that is getting subtracted will be changed. For example,

Consider the expressions, ($3a + 5b – 6 + 19a^{2}b$) and ($13b^{2}a + 39a^{2}b +17a + 6$).

The first expression is to be subtracted from the second. That is,

( 13?2? + 39?2? + 17? + 6 ) – (3? + 5? − 6 + 19?2? ) = 13?2? + 39?2? + 17? + 6 − 3? − 5? + 6 − 19?2?

= 13?2? + (39?2? − 19?2?) + (17? − 3?) + (6 + 6) + (−5?)

= 13?2? + 20?2? + 14? + 12 − 5?

= 20?2? + 13?2? + 14? − 5? + 12

What’s next?

In the next segment of Class 7 Maths, we will learn the addition of polynomials using the Column method.

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