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From factorising a^2-b^2 hence or otherwise simplify fully (x^2 + 4)^2 - (x^2-2)^2

This question is a GCSE Higher tier style question. First the student should recognise that a²-b²= (a-b)(a+b). Using this to solve (x²+4)²-(x²-2)

Answered by Mythili S. • Maths tutor

9519 Views

Simplify 8x-3+6x

we can know there are 3 terms in this polynomial. The basic rule to simplify it is to combine the similar terms. The “x” exists both in the “8x”and the “6x” , which means they are similar. Therefore we ca...

Answered by Lanxin Y. • Maths tutor

6065 Views

A kettle costs £50 in a sale. It was reduced by 30%. What was the original price of the kettle?

100% - 30% = 70%£50 = 70%£50/70 = 0.714£0.714 = 1%100% = £71.4

Answered by Violeta M. • Maths tutor

2320 Views

Solve the simultaneous equations 5x + y = 21, x - 3y = 9

To solve, begin by multiplying both sides of the first equation by 3. This will make the coefficients of y in each equation an equal value of 3. With 15x + 3y = 63 and x -3y = 9, we can now simply add the...

Answered by Ellie B. • Maths tutor

3676 Views

Find the coefficient of the x^2 term in in the expansion of (1+x)^4.

To get an example of what this question is asking: the expansion of (1+x)^2 can be found by distributing and gives 1+2x+x^2. The coefficient of the x^2 term here would be 1, and for the x^1 term it would ...

Answered by Joshua T. • Maths tutor

2204 Views