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