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Mathematics

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

Algebraic Expressions

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Answer

Let 2a2 + 1 be less than 3a2 - 6 by Z.

3a2 - 6 - Z = 2a2 + 1

⇒ Z = 3a2 - 6 - (2a2 + 1)

⇒ Z = 3a2 - 6 - 2a2 - 1

Arrange the polynomial with like terms together and combine them.

⇒ Z = (3a2 - 2a2) + (- 6 - 1)

⇒ Z = a2 - 7

Hence, the number is a2 - 7.

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