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Factorise fully 3a^3b + 12a^2b^2 + 9a^5b^3

The first step here is to find a common factor in each term. If we first look at the coefficients of each term we can see the first common factor is 3, so we can write that first outside of our brackets. ...

Answered by Ellie G. • Maths tutor

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How do you use the product rule?

The product rule is used to find the differential of expressions of the form y = u(x)*v(x) where u(x) and v(x) are functions in terms of x. An example of such an expression could be

Answered by Laura L. • Maths tutor

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Differentiate the following: 7x^2 - 3x^3 + 5 + 27x

To solve this, we mutiply the powers by their respective co-efficients, then we lower the power by 1. If there isn't any X value following the number, we ignore the number entirely because it is a constan...

Answered by Oliver S. • Maths tutor

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