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Expand and simplify (6x - 2y)(3x - 7y)

Expand brackets: 18x^2 - 42xy - 6xy + 14y^2 Simplify: 18x^2 - 48xy + 14y^2 3 marks
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Answered by Beth W. • Maths tutor
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How many thirds are there in 9?

A third is exactly how it sounds: 1 piece out of 3 pieces of one number. If you imagine a cake is cut into 3 slices, one third would be one of those slices. This means that we have 3 thirds in any whole numb...
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Answered by Rachel B. • Maths tutor
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Differentiate y=(x^2+5)^7

In this example instead of multiplying out 7 brackets it is useful to use the chain rule, which is used to differentiate the composition of more than one function. If we let what is inside the bracket equal ...
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Answered by Rachel B. • Maths tutor
6949 Views

Factorise and solve x^2 - 8x + 15 = 0.

The easiest method to solve quadratic equations by hand is by factorisation - which means putting the equation into brackets, effectively expressing the equation as a product of two linear expressions. Imagi...
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Answered by Rachel B. • Maths tutor
4842 Views

How do I know which method of integration to use?

In reality there's no way to know for certain and in fact some integrals can actually be proven to be impossible but they won't give you those in the exam. There's only really two main methods that you'll ne...
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Answered by Oliver R. • Maths tutor
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