Use the distributive property to write an equivalent expression.
4, left bracket, 10, q, plus, 4, r, minus, 1, right bracket
4(10q+4r−1)
40q + 16r - 4
What is the missing term?
plus, 5+5 15, x15x 1515
2, x2x question mark? 6, x6x
3, x3x plus, 3+3
The missing term is 6, x6x.
Use the box method to distribute and simplify left bracket, x, minus, 2, right bracket, left bracket, 5, x, minus, 1, right bracket, .(x−2)(5x−1). Drag and drop the terms to the correct locations of the table.
left bracket(xxminus−22right bracket)left bracket(5, x5xminus−11right bracket)
To use the box method, we will divide the box into four quadrants. In the top left quadrant, we will multiply the x term from the first expression (x - 2) by the x term from the second expression (5x - 1). In the bottom right quadrant, we will multiply the -2 term from the first expression by the -1 term from the second expression. In the top right and bottom left quadrants, we will multiply the x term from the first expression by the -1 term from the second expression and vice versa.
The table would look like this:
| | x | -2 |
|---|------|------|
| 5x | 5x^2 | -10x |
| -1 | -1x | 2 |
So, (x-2)(5x-1) simplifies to 5x^2 - 10x - x + 2, which can be further simplified to 5x^2 - 11x + 2.