Simplify (1)
2 · x · x · x · x · 7 · y · y · y
2 · x · x · x · x · 7 · y · y · y
= 2 · 7 · (x · x · x · x ) · (y · y · y)
= 14x4y3
x + y -2
What is the coefficient of x?
x + y -2
What is the coefficient of x?
Answer: 1
x = 1·x,or 1x , but we normally don't write 1x.
The number 1 less than the square of x.
The number 1 less than the square of x.
= x2 - 1
If a = 2, b = -8, and c = -2, find:
-(c3)
If a = -2, b = -8, and c = -2, find:
- (c3)
= -(-2 · -2 · -2) = 8
Simplify:
5x · 5x
5x · 5x
= 5 · 5 · x · x
= 25x2
12 · x · x · x · x · 9 · y · y
12 · x · x · x · x · 9 · y · y
= 12 · 9 · (x · x · x · x) · (y · y)
= 108x4y2
1 - 21xy + 24y - xy – 4y - 4x3
How many terms are there?
1 - 21xy + 24y - xy - 4y - 4x3
How many terms are there?
There are 6 terms.
The product of 7 and x3.
The product of 7 and x3.
= 7 · x3 = 7x3
If a = -2, b = -8, and c = 2, find:
8a2
If a = -2, b = -8, and c = 2, find:
8a2
= 8(-2 · -2)
= 32
Simplify:
3x2 · 3x2
3x2 · 3x2
= (3 · 3)(x2 · x2)
= (9)(x · x · x · x)
= 9x4
4 · x · x · 3 · y · y · x · x · 2 · x
4 · x · x · 3 · y · y · x · x · 2 · x
= 4 · 3 · 2 · x · x · x · x · x · y · y
= 24x5y2
1 - 21xy + 24y - xy – 4y - 4x3
List the like terms.
The like terms are:
-21xy and -xy;
24y and -4y
The sum of 7 and the product of 2 and x.
The sum of 7 and the product of 2 and x.
= 2x + 7 = 2x + 7
If a = -2, b = -3, and c = 2, find:
2b2c2
If a = -2, b = -3, and c = 2, find:
2b2c2
= 2(-3 · -3)(2 · 2)
= 2(9)(4) = 72
Simplify:
10·x·x·x·x / 10·x·x·x
10·x·x·x·x / 10·x·x·x
*Same on the bottom and top, time to crop! Crop = cut
= x
-3 · x · -3 · y · y · x · x · -10 · x
-3 · x · -3 · y · y · x · x · -10 · x
= -3 · -3 · -10 · (x · x · x · x) · (y · y)
= -90x4y2
- 21xy + 24y - xy – 4y - 4x3
List the constant term.
-21xy + 24y - xy - 4y - 4x3
This expression has no constant term.
The difference of 5p and 2p.
The difference of 5p and 2p.
= 5p - 2p = 3p
If a = 2, b = -3, and c = -2, find:
4b2/b2a2
If a = 2, b = -3, and c = -2, find:
4b2/b2a2 "b2 is on the top and bottom, so we can cancel them."
= 4/a2
= 4/4 = 1
Simplify:
42·x·x·x·x·x·x / 14·x·x·x
*Same on the bottom and top, time to crop! Crop = cut
= 3·x·x·x
= 3x3
-13 · x · -2 · y · y · 2 · y · y · 2
-13 · x · -2 · y · y · 2 · y · y · 2
= -13 · x · -2 · y · y · 2 · y · y · 2
= -13 · -2 · 2 · 2 · x · y · y · y · y
= 104xy4
7 - 21xy + 24y - xy – 4y
Simplify this expression
7 - 21xy + 24y - xy - 4y
= 7 - 21xy - xy + 24y - 4y
= 7 - 22xy + 20y
The quotient of 6x and the product of 2 and x?
The quotient of 6x and the product of 2 and x.
= 6x ÷ (2x) = 3
Half points to 6x/2x.
If a = 2, b = -3, and c = -2, find:
4b2 - b2a2
If a = 2, b = -3, and c = -2, find:
4b2 - b2a2
= 4(9) - 9(4)
= 0
Simplify
66x7/-6x
66x7/-6x
= 6·11·x·x·x·x·x·x·x / -6·x
*Same on the bottom and top, time to crop.
= -11·x·x·x·x·x·x
= -11x6