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Maths
GCSE

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x + 1)(x + 2) = x^2 + 2x + x + 2 = x^2 + 3x+2therefore(x + 1)(x + 2)(x+3)= (x^2+3x+2)(x+3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 = x^3 + 6x^2+ 11x + 6where a=1 b=6 c=11 and d=9expansion of brackets can be do...

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Answered by Jeremy T. Maths tutor
3103 Views

For the equation 7x+3y=10x/y make x the subject.

7xy+3y2=10x 3y2=10-7xy 3y2=x(10-7y) 3y2/10-7y=x

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Answered by Tom H. Maths tutor
4114 Views

work out 64^2/3

solve 642/3 ... note X2/3 = X2 x 1/3 therefore 642/3= (642)1/3= (4096) 1/3= 16

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Answered by Patrick K. Maths tutor
3000 Views

Find the value of 9^(-1/2)

Find the value of 9-1/2. For this question we need to know indices rules. We apply two rules here as the power is negative and because it's a fraction. First, let's tackle the negative power ru...

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Answered by Janifa Y. Maths tutor
46433 Views

Find the two points of intersection of the graphs y=x2 and y=x+2.

We know the presence of the quadratic means there must be two solutions for x. We can solve this problem by treating the formulas for the graphs as simultaneous equations. We can substitute in the formula...

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Answered by Sareena H. Maths tutor
8209 Views

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