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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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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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Solve the simultaneous equations 3x + 4y = 17 and 4x + y = 14

Eq1: 3x + 4y = 17 Eq2: 4x + y = 14 Eq2 x 4: 16x + 4y = 56 Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17 Simplify: 13x = 39 Solve for x: x = 3 Substitute x into Eq1: 3(3) + 4y = 17 9 + 4y ...
DH
Answered by David H. • Maths tutor
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What is the fraction of blue beads?

A tin contains red, white and blue beads in the ratio red:white:blue = x:2x:x^2 First we should find the total number of beads in the tin: x + 2x + x^2 = 3x + x^2 The number of blue beads is x^2 So the fract...
RB
Answered by Rheanne B. • Maths tutor
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