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4 years ago

Please Answer??? The binomial expansion of (2x-y)^3 is

Mathematics

2 answers:

Juliette [100K]4 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$(2x-y)^3$

Binomial expansion of given expression is

$(2x)^3-3(2x)^2(y)+3(2x)(y)^2-(y)^3$ $[\because (a-b)^3=a^3-3a^2b+3ab^2-b^3]$

$8x^3-3(4x^2)y+6xy^2-y^3$

$8x^3-12x^2y+6xy^2-y^3$

The binomial expansion of given expression is $8x^3-12x^2y+6xy^2-y^3$

Therefore the correct option is B.

Marina86 [1]4 years ago

3 0

Your answer is B.

I hope this helped :-)

Could I have brainly-ist?

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Y=x.arctan(x)^1/2. find dy/dx. pls show steps

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$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

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Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

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So we have

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You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

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