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Simplify 4x^2 + 10x

Find the highest common factor of each component. H.c.f. of 4 and 10 is 2, so:4x 2 + 10x = 2(2x 2 + 5x)H.c.f of x 2 and x is simply x, so:2( 2x 2 + 5x) = 2x(2x + 5)
BS
Answered by Bernardo S. • Maths tutor
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Find the general solution to the differential equation y'' + 4y' + 3y = 6e^(2x) [where y' is dy/dx and y'' is d^2 y/ dx^2]

First find the general solution to the differential equation y'' + 4y' + 3y = 0 as an arbitrary number of the solution to this differential equation can be added to the solution of the differential equation ...
ES
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‘The Depression was the main reason that Hitler became Chancellor of Germany in January 1933.’ How far do you agree?

The Depression was an important reason why Hitler became Chancellor of Germany in 1933. First of all, the Depression had a negative economic impact on Germany. This meant the Nazis were able to increase thei...
JD
Answered by Jake D. • History tutor
32914 Views

Discuss the representation of women in Shakespeare's Hamlet.

First of all, let's look at how many female characters there are in Shakespeare's tragedy; two. This is a play governed by men. Both Ophelia and Gertrude say very little, which adds to the overwhelming sense...
OD
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There are 720 boys in a school and 700 girls. The probability that a girl chosen at random studies french is 3/5 and the probability that a boy chosen at random studies french is 2/3. What is the total number of students in the school that study french?

The probability that a girl chosen at random studies french is 3/5. This means that out of 700 girls at the school, three fifths (3/5) girls study french. To find out how many girls study french we must find...
ZP
Answered by Zoe P. • Maths tutor
3924 Views