1) A museum charges different rates for adults and students. Adult
1 answer:
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Answer:
A:
B:
Step-by-step explanation:
<u>A:</u>
Our expression is . We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:
Let's see if 96 is divisible by 6:
96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:
Thus, the answer to part A is .
<u>B:</u>
Look at the part of the above factored expression. Notice that it is a difference of squares (because
and 16 = 4²), so we can write this as:
Now take a look at the part. Again, it's a difference of squares because
and 4 = 2², so rewrite that as:
Put it all together:
Thus, the answer to part B is .