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How to expand squared brackets?

Take, for example, the bracket (a+5)^2. The longer way to do it would be to write (a+5)^2 as (a+5)(a+5) and multiply out that way. However, there is a shorter way where all you have to do is square the fi...

Answered by Diana C. • Maths tutor

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What is integration?

Integration is the reverse of calculating the derivative in maths. We can use integration to determine the area under a graph between to x values. I will demonstrate a basic integration question to show y...

Answered by Dorothy H. • Maths tutor

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Differentiate x^(4) + x^(1/2) + 3x^(5)

When considering a term in the form of xⁿ, we use the rule nx^n-1 when differentiating.

So, we multiply the power of x by the coefficient (number in front) of x and then minus ...

Answered by Emily P. • Maths tutor

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Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.

Label the two equations.

x² + 8x + y² = 84 (1)
x - y = 10 (2)

Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x² + 8x + (x - 10)

Answered by Lewis T. • Maths tutor

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What is the binomial theorem and why is it true?

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for...

Answered by Jacob C. • Maths tutor

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