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MATHEMATICS · Single correct · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply

Problem

\displaystyle \lim_{h\to0}\dfrac{(x+h)^{3}-x^{3}}{h}

, which of the following is the correct expansion of

(x+h)^{3}-x^{3}

? (a)

3x^{2}h+h^{3}

(b)

3x^{2}h+6xh^{2}+h^{3}

(c)

3x^{2}h+3xh^{2}+h^{3}

(d)

x^{3}+3xh^{2}+h^{3}