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What is the constant term of ( (4x-1)^2 )?

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Answer and explanation

Correct answer: 1

Using a^2-2ab+b^2 with a=4x and b=1,

(4x-1)^2=16x^2-8x+1. The term without x is called the constant term, so it is 1. The term -8x is a linear term, not a constant term. Exam tip: in the square of a binomial, the constant term is the square of its constant part.

Related tags

Algebraic IdentitiesConstant TermBinomial SquareClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

Using a^2-2ab+b^2 with a=4x and b=1,

(4x-1)^2=16x^2-8x+1. The term without x is called the constant term, so it is 1. The term -8x is a linear term, not a constant term. Exam tip: in the square of a binomial, the constant term is the square of its constant part.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.

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