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How do you expand (2x-1)(3x+4) using the FOIL method?

First, we must understand what the FOIL method is. FOIL is an ancronym that we use to help us remember the steps when expanding brackets. F - first O - outer I - inner L- last Step 1: Multiply the FIRST term...
JL
Answered by James L. • Maths tutor
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Factorise and solve the quadratic equation x^2 + 6x + 8 = 0

Theory Problems like this need to be broken down into steps: i) Factorise, ii) solve and iii) check. The aim of this question is to find values of x which satisfy the quadratic equation, i.e. when we substit...
TD
Answered by Tutor87306 D. • Maths tutor
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Find the indefinite integral of sin(2x)(cos^2(x)) with respect to x.

We know from trigonmetric identities that cos(2x) = 2cos^2(x) -1, therefore cos^2(x) = 0.5(1+cos(2x)). Subbing this in gives the following integrand: 0.5(1+cos(2x))sin(2x). We can now split the integral into...
PP
Answered by Patrick P. • Maths tutor
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How can I solve equations like 2x + 3 = 8x + 21?

Questions like this ask you to solve an equation; this means to find a value of x that when put into the equation allows each side of the equation to be equal. There are three important rules to follow when ...
TD
Answered by Tutor87017 D. • Maths tutor
5517 Views

We have the following fractions: 6/16, 9/24, 12/32 and 15/35. Which fraction is not equivalent to 3/8?

Numerator and denominator of a fraction 6/16 can be divided by 2 to get 3/8. Numerator and denominator of a fraction 9/24 can be divided by 3 to get 3/8. Numerator and denominator of a fraction 12/32 can be ...
KP
Answered by Karolina P. • Maths tutor
10146 Views