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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

Answered by Hannah M. • Maths tutor

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

(y²x y⁵) / y³ When multiplying, the indices must be added together, therefore y² x y⁵ = y²⁺⁵ = y⁷ (y²x y⁵

Answered by Jemima P. • Maths tutor

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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 ...

Answered by Jemima P. • Maths tutor

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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

Answered by Noureen L. • Maths tutor

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We have a parallelogram with sides of 8cm and 5cm and an angle of 140 degrees, calculate the length of two diagonals

We would first like to work out the size of all the angles which have not been give, as one angle is 140 degrees we know the angle opposite to it is also 140 degrees due to the symetry of the shape. The t...

Answered by Thomas O. • Maths tutor

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