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How do I simplify an equation?

Lets take this as an example:

Simplify 5a - (2a + 6)

To 'simplify an equation' means to put it at its most basic form

To make it easier for us, we can place a 1 infront of the bracket...

Answered by Laura G. • Maths tutor

10525 Views

Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.

Label the two equations.

x² + 8x + y² = 84 (1)
x - y = 10 (2)

Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x² + 8x + (x - 10)

Answered by Lewis T. • Maths tutor

4963 Views

Find the interval for which x^2 - 7x + 10 </= 0

Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2 - 7x + 10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negativ...

Answered by Lewis T. • Maths tutor

6613 Views

What is the binomial theorem and why is it true?

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for...

Answered by Jacob C. • Maths tutor

3268 Views