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write showing all working the following algebraic expression as a single fraction in its simplest form: 4-[(x+3)/ ((x^2 +5x +6)/(x-2))]

4-[(x+3)*((x-2)/(x^2 +5x +6))] 4-[(x+3)(x-2)/(x^2 +5x +6))] factorise denominator 4-[(x+3)(x-2)/(x+3)(x+2)] cancel down (x+3) 4-[(x-2)/(x+2)] expand 4(x+2)/(x+2) - (x-2)/(x+2) now share a denominator so make...
ST
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How do you distinguish a normal statement from a question?

As you know, the English language has rules that allow you to identify a question without too many problems: order of the words (auxiliary verb + subject + verb + ...) and/or presence of elements such as Whe...
RB
Answered by Renee B. Italian tutor
3661 Views

How do you simplify expressions involving different powers?

Let's answer the question by solving an example: Take (8x 2 * 5x 4 * 2y 3 )/(20x 3 ). Firstly, let's take a look at the first bracket and rearrange it so we have both numbers and variables grouped together: ...
PW
Answered by Patryk W. Maths tutor
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Given y=x^3-x^2+6x-1, use diffferentiation to find the gradient of the normal at (1,5).

dy/dx = 3x^2-2x+6 At (1,5), dy/dx = 7. 7 is the gradient of the tangent, therefore the gradient of the normal at (1,5) is -1/7.
KR
3024 Views

What is the present subjunctive and when is it used?

The subjunctive is a ' mood ', not to be confused with ' tense ' since a mood can have more than one tense. The present form of the subjunctive is the most common in French today; there is also an imperfect ...
TJ
Answered by Tabitha J. French tutor
5191 Views