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Expand the following brackets: a) 4(x+3) b) 3(x-1)-2(x+5) c) (y-3)^2 d) (y-2)^2 + (y+3)^2

a) 4x + 12 For this question you must expand out the bracket by multiplying the subjects within by the number at the front. 4x + (4 x 3) = 4x + 12 b) x - 13 Although this question looks more confusing, you s...
JF
Answered by Jasmin F. Maths tutor
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Find the equation of the tangent to the curve y = x2 -3x +5 at the point (1,3).

Find the equation of the tangent to the curve y = x 2 -3x +5 at the point (1,3).The tangent is a straight line of the form y = mx+cTo find the gradient, m, we first differentiate the function:dy/dx = 2x -3Th...
TD
Answered by Tilly D. Maths tutor
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2x+3x-4=5

3x+3x-4=5,6x-4=5,6x=9,x=9/6,x=3/2
ED
Answered by Ella D. Maths tutor
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What is a product of prime factors?

A product of prime factors is a set of prime numbers that multiply to make the requested number. Essentially, when a question asks you to express a number as a 'product of primes', it wants you to break the ...
DK
Answered by Daniel K. Maths tutor
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How do you write 36 as a product of its prime factors?

What is a prime number? This is a number which can only be divided by 1, and itself. 1 is not considered to be a prime number. The first few prime numbers are: 2, 3, 5, 7, 11, 13. Any even number can be divi...
CF
Answered by Charlotte F. Maths tutor
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