What is the expansion of (x+6)(x+4)?
Answer and explanation
Correct answer: x^2+10x+24
Using the distributive property, (x+6)(x+4)=x^2+4x+6x+24. Combining like terms gives 4x+6x=10x, so the expansion is x^2+10x+24. Option B incorrectly interchanges the middle-term coefficient and the constant term. Exam tip: Check with (x+a)(x+b)=x^2+(a+b)x+ab; here the middle coefficient is 6+4=10 and the constant term is 6\times4=24.
Frequently asked questions
What is the correct answer to this question?
x^2+10x+24
Why is this the correct answer?
Using the distributive property, (x+6)(x+4)=x^2+4x+6x+24. Combining like terms gives 4x+6x=10x, so the expansion is x^2+10x+24. Option B incorrectly interchanges the middle-term coefficient and the constant term. Exam tip: Check with (x+a)(x+b)=x^2+(a+b)x+ab; here the middle coefficient is 6+4=10 and the constant term is 6\times4=24.
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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