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Maths
GCSE

Solve 3x^2 + 6x + 3 = 0

Since there is a common factor of 3 on the the left hand side of the equation, you can take that out as a factor:
3(x^2 + 2x +1) = 0
Then you you can divide both sides by 3:
x^2 + 2x + 1 = ...

Answered by Samarth G. Maths tutor
3113 Views

Trigonometry: Find the length of side x on the right-angled triangle.

To answer this question it is best to remember SOH CAH TOA.SOH: sin(angle)=opposite (length of side opposite the angle)/hypotenuse (length).CAH: cos(angle)=adjacent (length of side next to the angle)/hypo...

Answered by Molly K. Maths tutor
4311 Views

Factorise: 3x^2 - 9x - 30

The first think you can do is look to see if all of your terms can be divided by a common factor. In this case it is 3, leaving you with 3(x^2 - 3x - 10). This can be factorised further to produce somethi...

Answered by Freya N. Maths tutor
5261 Views

Expand and simplify (x − 4)(2x + 3y)^2

You should start off by separating the brackets as the squared only applies to one of them. We'll deal with that one first. Write the (2x + 3y)^2 as two separate brackets of (2x+3y). Then multiply the fir...

Answered by Lois B. Maths tutor
4129 Views

Factorise and solve x^2 - 8x + 15 = 0

Look for factors of 15 then when adding together equal -8. A solution to this is -5 and -3 as -5 x -3=15 and (-5)+(-3)=-8 . Therefore the factors of the quadratic are (x-5) and (x-3). Make (x-5)(x-3)=0 so...

Answered by Amrit S. Maths tutor
2805 Views

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