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2 answers:
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Answer:
3x³ - 8x² - 7x + 12
Step-by-step explanation:
We multiply these terms, (so expand the brackets). Referring to the diagram attached, we multiply the first terms, outer terms, inner terms, and last terms.
Let's first look at the first two (we will do something about the third brackets later):
(3x+4)(x-1)
Firsts:
3x²
Outer:
-3x
Inner:
4x
Last:
-4
Now we combine:
3x² - 3x + 4x - 4
= 3x² + x - 4
So from the whole equation, we now have this:
(3x² + x - 4)(x - 3)
We do a similar thing here.
3x³ - 9x² + x² - 3x - 4x + 12
Simplify:
3x³ - 8x² - 7x + 12
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor =
Scale Factor = 4/2
Scale Factor = 2
<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²