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How can i use completing the square to factorise and solve equations

This method will only work if your x term is divisible by 2. For example x 2 + 6x + 12. You then use the halved x term (e.g. 3x) to complete the square. The beginning of your factorisation is now (x + 3) 2 ....
NS
Answered by Natalie S. • Maths tutor
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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
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Fully simplify: (y^2 x y^5) / y^3

(y 2 x y 5 ) / y 3 When multiplying, the indices must be added together, therefore y 2 x y 5 = y 2+5 = y 7 (y 2 x y 5 ) / y 3 = y 7 / y 3 When dividing, the indices must be subtracted, numerator from denomin...
JP
Answered by Jemima P. • Maths tutor
5794 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 opposite X...
JP
Answered by Jemima P. • Maths tutor
4981 Views

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

Collect like terms 2x - x +6y +2y 2. Simplify like terms 2x - x = x 6y+2y=8y 3. Write final answer x + 8y
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Answered by Noureen L. • Maths tutor
3990 Views