SOLUTION: Please help me with these questions I have for my year nine homework. 1 Simplify the following by collecting the like terms. -6-3x+4-x 2 Expand the following by removing the b

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me with these questions I have for my year nine homework. 1 Simplify the following by collecting the like terms. -6-3x+4-x 2 Expand the following by removing the b      Log On


   



Question 68561: Please help me with these questions I have for my year nine homework.
1 Simplify the following by collecting the like terms.
-6-3x+4-x
2 Expand the following by removing the brackets
-6(5x-4)
3 Expand and simplify the following.
(x-6)(x+6)
4 Factorise the following using the highest common factor.
4q2+10q8

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
1 Simplify the following by collecting the like terms.
-6-3x+4-x

-6 - 3x + 4 - x
Collect like terms -3x and -x, -6 and 4
highlight+%28-2+-+4x%29

2 Expand the following by removing the brackets
-6(5x-4)
-6(5x) - (-6)(-4)
-30x - (24)
highlight+%28-30x+-+24%29

3 Expand and simplify the following.
(x-6)(x+6)
Use FOIL Method
F = First Term --> Multiply the two first terms x(x)
O = Outer Term --> Multiply the two outer terms x(6)
I = Inner Term --> Multiply the two inner terms (-6)x
L = Last Term --> Multiply the two last terms -6(6)
x(x) +x(6) + (-6)x +(-6)(6)

%28x%5E2+%2B+6x+-+6x+-+36%29

highlight+%28x%5E2+-+36%29
4 Factorise the following using the highest common factor.
4q2+10q8

Factor
4q%5E2 = 2%2A2%2Aq%5E2

10q%5E8 = 5%2A2%2Aq%5E2%2Aq%5E6

Greatest common factor = 2q%5E2
highlight+%282q%5E2%282+%2B+5q%5E6%29%29