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Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x2=4(x-3)(x-3)=4(x2-6x+9)=4x2-24x+36 Deducting 'x2' from both sides: 0=3x2-24x+36 Dividing by 3 and fa...

MG
Answered by Matthew G. Maths tutor
2852 Views

Factorise the following expression: x^2+12x-45

x^2+12x-45

x^2+15x-3x-45 (15x - 3x= 12x and 15 x -3=-45)

x(x+15)-3(x+15)

(x-3)(x+15) 

AH
Answered by Aisha H. Maths tutor
3121 Views

How do I factorise this expression? [Let’s say it’s x^2 + 5x + 6]

The expression is of the form ax^2 + bx + c. Here, a = 1 and this makes it easier for us. We can also see that b = 5 and c = 6. In general, we have to find two numbers that multiply to get c and add to ge...

LC
Answered by Luke C. Maths tutor
3126 Views

Simplify: 2x + 6y + 2y - x

To answer this question you need to group the different terms to form the shortest equation possible. It is easiest to treat the x terms and the y term as seperate, so you have:

2x - x      and    ...

LD
Answered by Libby D. Maths tutor
3228 Views

Solve 3x – 5 < 16

The question is asking you to isolate, or find out what 'x' is in relation to the equation. Don't be confused by the less than sign '<'. Treat it like an equals sign '='. 3x - 5 =16.

So let's ge...

JO
Answered by Judith O. Maths tutor
6089 Views

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