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Simplify (x + 3)(2x + 5) - (x - 1)

Start by expanding the brackets: 2x^2 + 5x + 6x + 15 = 2x^2 +11x + 15 Combine the two parts of the equation: 2x^2 + 11x + 15 - x + 2 = 2x^2 + 10x + 17

HM
Answered by Hannah M. • Maths tutor
4457 Views

Fully simplify: (y^2 x y^5) / y^3

(y2 x y5) / y3 When multiplying, the indices must be added together, therefore y2 x y5 = y2+5 = y7 (y2 x y5

JP
Answered by Jemima P. • Maths tutor
5354 Views

Increase £160 by 45%.

If £160 = 100%, the number we are trying to find (let's call this X) equals 145%. (Place numbers in 2x2 grid) 100%    £160 145%     X Multiply the two diagonal numbers together, then divide by the number ...

JP
Answered by Jemima P. • Maths tutor
4583 Views

Describe the 3 types of solution to a quadratic equation

  • The behaviour of the solution depends on the value of the discriminant, D = b2 – 4ac, (aptly named as it allows you to discriminate between solutions)

  • ...
GL
Answered by George L. • Maths tutor
3592 Views

For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1

(I assume I can use the whiteboard in an actual lesson/interview)

So this question might seem quite simple, and maybe it is, but this type of question can catch many students out. The first step is...

NH
Answered by Nabeel H. • Maths tutor
3581 Views

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