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Write 144 as a product of its prime factors

To do this, we draw a prime factor tree (whiteboard). The easiest way is to keep dividing by 2 (which is a prime number) until we get an odd number. 144/2 = 72 and 72/2 = 36 and 36/2 = 18 and 18/2 = 9 which ...
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Answered by Ewan S. Maths tutor
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Solve x2 + 2x − 4 = 0 leave in simplest form.

This is a Quadratic equation so you would try to factorise.If it was on the calculator paper use the equation (You don't need to memories this equation, but you have to be commutable using it).However this i...
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Answered by Malee N. Maths tutor
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2x + y = 10 and 4y - 5x = 1, solve for x and y.

Rearrange one of the linear equations in order to have x or y written as an equation of the other. I.E 1) y =10 - 2x.Then substitute this value into the other equation: 4(10 - 2x) - 5x = 1, hence 39 = 13x wh...
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Answered by Nathan T. Maths tutor
4873 Views

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
17653 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
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