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12 votes
Simplify
(7.5x² +5.4x +3.7) (7.4x² -2.1x +7.7)

1 Answer

12 votes

Answer:

55.5
x^(4)+24.21x³+73.79x²+33.81x+28.49

Explanation:

To simplify this equation, follow these steps:

(7.5x² +5.4x +3.7) (7.4x² -2.1x +7.7)

Multiply 7.5x² by all the terms in the right parenthesis.

7.5x² (7.4x² -2.1x +7.7)=55.5
x^(4) - 15.75x³+ 57.75x²

Then multiply 5.4x by all the terms in the right parenthesis.

5.4x(7.4x²-2.1x+7.7)=39.96x³-11.34x²+41.58x

Now multiply 3.7 by all the terms in the right parenthesis.

3.7(7.4x²-2.1x+7.7)=27.38x²-7.77x+28.49

Add all of those answers together.

55.5
x^(4) - 15.75x³+ 57.75x²+39.96x³-11.34x²+41.58x+27.38x²-7.77x+28.49=

=55.5
x^(4)+24.21x³+73.79x²+33.81x+28.49

The answer is 55.5
x^(4)+24.21x³+73.79x²+33.81x+28.49

Hope this helps!

If not, I am sorry.

User IxDay
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