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Expand and simplify 3(m + 4) – 2(4m + 1)

You need to follow the basic rules of expanding brackets i.e. before doing any of the sums inside of the bracket (which would be impossible as you do not know the value of 'm'), you need to perform the task ...
LW
Answered by Lizzie W. • Maths tutor
4064 Views

For all values of x, f(x) = (x + 1)^2 and g(x) = 2(x-1). Show that gf(x) = 2x(x + 2).

f(x)=(x+1)^2g(x)=2(x-1) gf(x)=2([(x+1^2)]-1) =2([(x+1)(x+1)]-1) =2([x^2+2x+1]-1) =2(x^2+2x) =2x(x+2)
QQ
Answered by Quamar Q. • Maths tutor
3595 Views

How to solve the simultaneous equations: 3x+5y=19 and 4x+6y=22

First find a shared factor between the x's or the y's. Both 5 and 6 are a factor of 30. So 30/5 is 6 therefore we multiply the whole of equation 1 by 6 to get 18x+30y=114. Then 30/6 =5 so we multiply the who...
RK
Answered by Rachel K. • Maths tutor
3781 Views

Simplify this algebraic fraction: 2(x+8) + 2(x+6) / x^2 - 49

Let's start with the numerator. According to BIDMAS we first expand the brackets: 2x+16+2x+12 Now add the like terms: 4x+28We can now take 4 out as a factor: 4(x+7)Now looking at the denominator we can recog...
PB
Answered by Priti B. • Maths tutor
3372 Views

In a triangle ABC where angle CAB = 90 and angle ABC = 40 and the hypotenuse = 20cm, what is the length CA? Then find the total perimeter of the triangle.

Use SOH CAH TOA to determine which trigonometric function to useTo calculate CA Sine should be usedWe then get an answer of 12.86cm for CAWe can then either use Cosine or pythagorus to calculate AB Final ans...
JD
Answered by Jack D. • Maths tutor
3308 Views