Can you help me with my Algebra? I don't quite understand it.?

Question

Simplify:
1. x[2x+5(3x+9)] =
2. 4a(a-3)-a2+4= (its supposed to be a squared "a2")
3. x[2x+3 x 18]= (note its 3 times 18)

Ok! On number 1 if you multiply x[2x....] does that equal 2x or is that 3x? I can't remember. On number 2 the part where it says 4a(a-3)... I know you use the distributive property but does that equal 4a-12 or is that like 4a(squared)-12?

please show me how to do the problem! ^_^ thanks

Answer 1

1)x[2x+5(3x+9)]
=x[2x+15x+45]
=x[17x+45]
=17x^2+45x
2)4a(a-3)-a^2+4
=4a^2-12a-a^2+4
=3a^2-12a+4
3)x[2x+3*18]
=x[2x+54]
=2x^2+54x

Answer 2

1. x[2x + 5(3x+9)]

Do the parentheses first. The 5 gets multiplied by both the 3x and the 9.

x[2x + 15x + 45] and the parentheses disappear once you do that.

Now to simplify it, add the two x-terms together.

x[17x + 45]

Now multiply, 17x times x will be 17x-squared (written 17x^2 here on the internet :) because it's like 17x times 1x. 17 times 1 is 17 and x times x is x-squared

17x^2 +45

2. 4a(a-3) will equal 4a^2 - 12a for the same reason as the other one

3. Do the multiplication inside the brackets first. That way you only have two terms to multiply the 'x' times. The x on the outside of the brackets will be multiplied times 2x and times 54. Remember that x is like 1x when you multiply

2x^2 + 54x

I hope that all made sense and helped you understand little better.

Answer 3

If you multiply x by x it equals x²

Just like if you multiply 4 by 4 it equals 16 or 4².

Start with your inner brackets and work your way out
so on 1:
x[2x+5(3x+9)] (multiply the stuff in the parenthesis by 5)
x[2x+15x+45] (working inside the parenthesis still add the x's together)
x[17x+45] (last multiply the stuff in the brackets by x)
17x²+45x
You should try the rest :) You distribute a number that is not separated by a + or - to inside the parenthesis, so you would only multiply the (a-3) by the 4a.

Answer 4

ok...
#1... first you gotta start on the 5(3x + 9) part...
and when you distribute you multiply the 5 by 3x and you get 15x and then you multiply 5 times the 9 and you get 45, so we get:
x[2x + 15x + 45]
now, we distribute that x to everything in the brackets.
x * 2x = 2x^2 etc...

x[2x + 15x + 45] = x[17x + 45] = 17x^2 + 45x

#2... 4a(a - 3) = 4a^2 - 12a and you can finish the rest by combining like terms....

#3. x(2x + 3 * 18) = x(2x + 54) = 2x^2 + 54x

Answer 5

Question 1
x (2 x + 15 x + 45)
x (17 x + 45)
17 x ² + 45 x

Question 2
4 a ² - 12 a - a ² + 4
3 a ² - 12 a + 4

Question 3
x (2 x + 54)
2 x ² + 54 x

Answer 6

Whenever you multiply x and x they become x^2

1. x[ 2x + 5(3x +9)]
x[ 2x + 15x + 45]
x[ 17x + 45]
17x^2 + 45x

2. 4a(a-3) - a^2+4
4a^2 - 12a - a^2 + 4
3a^2 - 12a + 4

3. x[2x+3 x 18]
x[2x + 54 ]
2x^2 + 54x

Answer 7

1. x[2x+5(3x+9)]
first, distribute the 5...
x[2x+15x+45]

combine like terms...
x[17x+45]

and distribute the x...
17x^2+45

2. 4a(a-3)-a^2+4
first, distribute the 4a...
4a^2-12a-a^2+4

combine like terms...
3a^2-12a+4

3. x[2x+3*18]
first, multiple 3 and 18 together...
x[2x+54]

then, distribute the x...
2x^2+54x

Answer 8

The problem is if you would just memorize and know your times tables. The whole idea behind these types of exercises is to get your brain to do multiplication. so they thought up a fun and fancy Way to add subtract multiply and divide. It is a way to get your math karma. You will not suceed in this course if you are week in math.. Algebra is a road map to the future, it is a shortcut to technology, it helps immensely down the road with complex geometry and trig theory. This stuff is real and it works, but not if you get others to do it for you.
down the road from now you may need to know keen stuff like how many if a fan blade turns 1050 rpm and it has five blades each have a 33 degree pitch and they are 18 inchs long ,how many square feet of air will it move per minute? per hour? what will be the difference in speed if the back pressure varries from 0 to 100%? A boat uses a triple blade prop with a pitch of and a with of and the motor turns it x amount of times per minute how fast will the boat move? These excersizes in algebra are important. this is a jr stage in engineering. If you cannot get this now, later you will be miserable. so knuckle down and hit them books.

Answer 9

dis is easy u want the septs or no anzer only wat ever i'll do steps.

1.[2x+5(3x+9)]
[2x+15x+45]
[17x+45]

2. 4a(a-3)-a(sq.)+4
5a-3-a(sq.)+4
6a(sq.)-3+4
6a(sq.)+1

3.x[2x+3*18]
x[2x+54]
3x+54x
57x
brb sry