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Expand the following : (2x+3)(x-1)

We multiply the 2x in the first bracket by everything in the second bracket to give: 2x 2 -2xWe then multiply the 3 in the first bracket by everything in the second bracket to give: 3x-3Putting 2x 2 -2x and ...
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Answered by Samuel S. • Maths tutor
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How to complete the square to solve quadratic equations?

Equation: x 2 +4x-5=0 (This is in the form ax 2 +2bx+c=0)First divide 2b by 2 (4/2=2)Then put this into (x+b) 2 -(b) 2 +c=0This gives: (x+2) 2 -(2) 2 + -5=0 (remembering +and- makes a -)Simplify to: (x+2) 2 ...
GJ
Answered by George J. • Maths tutor
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Write 16× 8^2x as a power of 2 in terms of x.

16 = 2 4 8 2x = (2 3 ) 2x = 2 6x Therefore, 16x8 2x = 2 4 x 2 6x = 2 4+6x
XY
Answered by Xixi Y. • Maths tutor
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Solve the following simultaneous equations: x^2 + 2y = 9, and y = x + 3.

Label the two equations as the following: x 2 + 2y = 9 y = x + 3 Equation 2 can be substituted into equation 1, giving: x 2 + 2( x + 3 ) = 9Expanding the brackets and subtracting 9 from both sides means equa...
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Answered by Ximena B. • Maths tutor
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How do I solve simultaneous equations by substitution?

You can solve simultaneous equations by either substitution or elimination. Say we have the equations:(1) 8y + 6x = 24 and (2) 2y - x = 6SUBSTITUTION METHODFirst, you need to find x in terms of y (or y in te...
JN
Answered by Joshua N. • Maths tutor
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