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Expand and simplify: 5(x +y) + 3(4x-2y)

I'd first explain how expansion works, and that the first step is to expand the first bracket as shown below:The first bracket expands to: 5x + 5y which equals 5x + 5yThe next step I'd show would...

HJ
Answered by Harvey J. Maths tutor
3865 Views

What is Differentiation?

Differentiation is finding the derivative of an equation. The easiest way to understand it is to look at examples and then practice on more complex questions. These for examples show the three basic princ...

ZM
Answered by Zoé M. Maths tutor
2682 Views

Simplify fully (x^2 + 3x)/(4x + 12)

You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x2 and 4x have 'x' in common, and 3x and 12 ha...

MJ
Answered by Matthew J. Maths tutor
3569 Views

Simplify completely: 3x^2 - 14x +5 /2x^2 -10x

Ideally you're aiming to find common factors on both sides of the fraction that cancel out. Firstly we can break this question down into two bits. First bit is factorising 3x^2 -14x+5. Factorizing this wo...

DB
Answered by Diya B. Maths tutor
2649 Views

Write x^2 + 6x - 10 in the form ((x+a)^2)+b?

To find the value of a divide the coeffecient of x. Here this would be 6/2 which = 3. If we were to expand (x + 3)^2 + b this would give us:x^2 + 3x +3x + 3^2 +b which simplifies to x^2 + 6x + 3^2 + b. If...

GG
Answered by Gunalini G. Maths tutor
13198 Views

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