Question

Factor completely, then place the factors in the proper location on the grid. 2a^2 2b^2 - 5ab

Options:
a) (2a - b)(a + 2b) and (2a + b)(a - 2b)
b) (2a + 5b)(a - 2b) and (2a - 5b)(a + 2b)
c) (2a - 5b)(a + 2b) and (2a + 5b)(a - 2b)
d) (2a - 5b)(a + 2b) and (2a + 5b)(a - 2b)

Answer 1

The factored form of the expression 2a^2 - 5ab + 2b^2 is (2a - b)(a - 2b) and it can be placed on the grid with '(2a - b)' in the top row and '(a - 2b)' in the bottom row.

Step-by-step explanation:

To factor the expression 2a^2 - 5ab + 2b^2 completely, we can look for two numbers that multiply to give 2b^2 (the coefficient of b^2) and add to give -5a (the coefficient of ab). In this case, the numbers are -2b and -b. So, the factored form of the expression is (2a - b)(a - 2b).

To place the factors on the grid, we can assign '1' to the factor (2a - b) and '-1' to the factor (a - 2b). The grid will look like this:

(2a - b)(a - 2b)1-1