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What is the expanded and simplified form of 8x+39(x+2)?

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Answer and explanation

Correct answer: x² + 5x + 6

Using the distributive law, multiply each term: x·x + x·2 + 3·x + 3·2 = x² + 2x + 3x + 6. Combining the like terms 2x and 3x gives x² + 5x + 6. Option B has the coefficients of the middle and constant terms incorrect. Exam tip: for two binomials, multiply the first, outer, inner and last terms, then combine like terms.

Related tags

PolynomialsBinomial MultiplicationDistributive LawAlgebraic Expressions

Frequently asked questions

What is the correct answer to this question?

x² + 5x + 6

Why is this the correct answer?

Using the distributive law, multiply each term: x·x + x·2 + 3·x + 3·2 = x² + 2x + 3x + 6. Combining the like terms 2x and 3x gives x² + 5x + 6. Option B has the coefficients of the middle and constant terms incorrect. Exam tip: for two binomials, multiply the first, outer, inner and last terms, then combine like terms.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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