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Find the product.

(7x - 6)2
A. 49x2 + 36
B. 49x2 - 84x + 36
C. 7x2 - 84x + 36
D. 7x2 + 36

User Girish
by
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2 Answers

5 votes

Answer:

Option B: 49x² -84x + 36

Explanation:

User Igelkott
by
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3 votes
When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)

Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)

F 7x x 7x = 49x²
O 7x x -6 = -42x
I -6 x 7x = -42x
L
-6 x -6 = 36

Now, we add together all the terms

49x² + -42x + -42x +36

Adding a negative is the same as subtracting

49x² - 42x - 42x + 36

Finally, simplify (add together the like terms)

49x² -84x + 36
User Kanna
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