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Expand and simplify the following equation 5a(4b - 3) - 2a(6 + b)

In order to simplify this equation, first we need to expand the two brackets . To expand 5a(4b - 3) we multiply 5a with each term inside the brackets. Therefore, we get 5a * 4b - 5a * 3 = 20ab - 15a Doing th...
SS
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A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.

a.) dy/dx+10x^4+20x^3 d^2y/dx^2=40x^3+60x^2 b.)sub in x=-1 to dy/dx=10(-1)^4+20(-1)^3 =-10 therefore, decreasing
AF
Answered by Alexandra F. • Maths tutor
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How do I expand (3x + 6)(x + 2) ?

Firstly, this is a classic GCSE question that crops up time and again, so it's worth making sure that you can expand brackets blindfolded and with your arms tied behind your back before you walk into the exa...
JB
Answered by Joshua B. • Maths tutor
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Expand and simplify 3(2x + 5) – 2(x – 4)

Firstly, to expand an equation like this, you must multiply the brackets by the number outside of the brackets. Make sure that you multiply every number inside the bracket by the number directly outside, and...
AK
Answered by Anna K. • Maths tutor
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Explain the Chain Rule

The chain rule is used to differentiate composite functions, ie "a function of a function". In this case we have an outer function and an inner function. For example Differentiate f(g(x)). Here f i...
AC
Answered by Alex C. • Maths tutor
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