Answer:
2x² - 19x + 42
Explanation:
We want to expand (x - 6)(2x - 7) into a trinomial.
We use the FOIL (first, outer, inner, last) method.
First, multiply the first terms of each parenthetical expression; in the first one, that's x, and in the second, that's 2x:
x * 2x = 2x²
Next, multiply the outer terms; in the first one, that's x, and in the second, that's -7:
x * (-7) = -7x
After that, multiply the inner terms; in the first one, that's -6 and in the second, that's 2x:
(-6) * 2x = -12x
Finally, multiply the last terms; in the first one, that's -6 and in the second, that's -7:
(-6) * (-7) = 42
Now, add all these results together:
2x² + (-7x) + (-12x) + 42
2x² - 19x + 42
The answer is thus 2x² - 19x + 42.
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