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expand the brackets (x+5)(x+3) furthermore what are the two values of x

X 2 +3X+5X+15 Take the first X in the first bracket and multiply by every number or letter in the second bracket. Take the Second number in the first bracket and multiply by every number or letter in the sec...
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Answered by Shaun W. • Maths tutor
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Find D when 8x^3-12x^2-2x+D is divided by 2x+1 when the remainder is -2

8x 3 -12x 2 -2x+D...(1) 2x+1...(2) Assume 2x+1=0 so x=-1/2 8x 3 -12x 2 -2x+D=-2... when divided by (2) substitute -1/2 into all X values rearrange to find D
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Answered by Shaun W. • Maths tutor
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How would you differentiate ln(sin(3x))?

To answer this question we require the chain rule, which states that dy/dx=(dy/du)*(du/dx) To use this formula in our question, we can let y=ln(sin(3x))=ln(u) where u=sin(3x) Firstly, using a standard result...
HD
Answered by Hannah D. • Maths tutor
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Find the shortest distance between the line L: x=1+t, y=1+2t, z=1-t and the point A: (2,3,4)

First, write the line in vector form r =(1 1 1) + t(1 2 -1). Consider a point P on the line such that the line connecting P and A is perpendicular to L. The vector P->A is (2 3 4) - (1 1 1) - t(1 2 -1) = ...
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Answered by Zac T. • Maths tutor
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Prove that the difference of any two consecutive square numbers is odd

It is important we first define what we mean by an odd and even number. An even number is any integer (whole number) number divisible by 2 so we can express any even number as 2x where x is any integer. When...
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Answered by Amar H. • Maths tutor
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