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C
the square of the sum of 7 times x and 3 is expressed as
7x + 3 ← the sum of 7 times x and 3
(7x + 3)² ← the square of the sum of 7 times x and 3
4 times the difference of x and 1 is expressed as
x- 1 ← the difference of x and 1
4(x - 1) ← 4 times the difference of x and 1
putting it all together gives
(7x + 3 )² / 4(x - 1 ) → C
The way to read math problems is to read and do little parts at a time. Don't try and understand it all at once. That's what you try and do when you are reading a novel or a persuasive essay. Do things as you would when you are trying to parse a sentence.
The numerator is determined by the language before the word divide. What does it say? Concentrate on everything after square.
sum of 7 times x plus 3. That translates into 7x + 3
Now go look at the word square. It means that you square 7x + 3
Numerator: (7x + 3)^2
Guess what? You have already eliminated B and D. So you are left with A and C.
Denominator: difference between x and 1. Difference means subtract so you have x - 1
Denominator: 4 times the difference between x and 1: 4*(x - 1)
Now put them together.
numerator / denominator
[tex]\dfrac{(7x + 3)^2}{(4(x - 1))}[/tex]
which is C.