Subjects
Maths CBSE Live product
Class 8 (2025-26)
We Distribute, Yet Things Multiply
Annual Revision I - We Distribute, Yet Things Multiply

13. CBQ - Answer the following

Question:

4 m.

Nilan wrote the following expression in his note book:

\(4d(4d^{3} - 3d + 8) = 16d^{3} - 12d + 32d\)

His teacher marked the above expression as incorrect.

Based on the situation, answer the following questions.

1. What should be the correct expansion of \(4d(4d^{3} - 3d + 8)\)?

${16 d}^{3} - 12 d + 32 d$
${16 d}^{3} - 12 d^{2} + 32 d$
$16 d^{4} - 12 d^{2} + 32 d$
${32 d}^{4} - 12 d^{2} + 16 d$

2. What error did Nilan make while multiplying the expressions?

The distributive property is used incorrectly.
The powers of the variable are not added.
The coefficients are incorrectly multiplied.
The simplification is incorrect.

3. Which rule of exponents should he use to rectify his mistake?

\(\frac{a^{m}}{a^{n}} = a^{m-n}\)
\(a^{m} \times a^{n} = a^{mn}\)
\(a^{m} \times a^{n} = a^{m+n}\)
\(a^{m} \times a^{n} = a^{m-n}\)

4. What is the degree of the correct expansion?

\(0\)
2
4
3

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