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Binomially expand the equation (2+kx)^-3

(2+kx) -3 = (2 -3 )(1+kx/2) -3 = (2 -3 )(1+(-3)(kx/2) + [(-3)(-4)]/2! (kx/2) 2 + [(-3)(-4)(-5)]/3! (kx/2) 3 +... ) = 1⁄8 [1 -(3kx/2) + (12⁄2 k 2 x 2 /4) + (60⁄6 k 3 x 3 /8) + ...] = 1⁄8 [1 - (3⁄2 kx) + ( 3⁄2...
CH
Answered by Christopher H. Maths tutor
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Solve the simultaneous equations: 2x + y = 18, x - y =6.

There are 2 different ways to approach solving simultaneous equations: 1) making x or y the subject of one of the equations.2) addition or subtraction method.In this section, I will explain the first method....
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Answered by Jamini G. Maths tutor
17668 Views

Express 112 as a product of it's prime factors.

The easiest way to approach this problem is using a break down tree from the number at the top of the page. Firstly, you can divide 112 by 2 to get 56. Circle the number 2 as this is prime and can no longer ...
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Answered by AIDAN B. Maths tutor
13839 Views

x^2-5x-50=0. Solve for the positive value of x

recognise this equation has the form ax^2 + bx + c =0. An equation with this form is a quadratic. Recognise in a quadratic equation there will be 2 values of x that will equal 0. These 2 values will multiply...
EF
Answered by Ellis F. Maths tutor
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What is the Highest Common Factor of 8 and 24

You would first want to draw out a tree diagram (example given by whiteboard) and divide the number given e.g. 8 in the question by prime numbers e.g. 8 can be split into two branches 2 and 4. 2 is a prime n...
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Answered by Faisal R. Maths tutor
4837 Views