What is the product of ((3x-2)(x+5))?
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Answer and explanation
Correct answer: \(3x^2+13x-10\)
Using the distributive property, \((3x-2)(x+5)=3x\cdot x+3x\cdot5-2\cdot x-2\cdot5=3x^2+15x-2x-10=3x^2+13x-10\). Therefore, option A is correct. Option C does not combine the like terms \(15x\) and \(-2x\). Exam tip: after expanding, combine only terms with the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(3x^2+13x-10\)
Why is this the correct answer?
Using the distributive property, \((3x-2)(x+5)=3x\cdot x+3x\cdot5-2\cdot x-2\cdot5=3x^2+15x-2x-10=3x^2+13x-10\). Therefore, option A is correct. Option C does not combine the like terms \(15x\) and \(-2x\). Exam tip: after expanding, combine only terms with the same variable and exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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