Question the-ex

2.4 Equivalent Expressions - Simplifying polynomials
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open parenthesis, 7,532, plus 100 y squared, close parenthesis, plus, 10 times open parenthesis, 10 y squared minus 110, close parenthesis

The expression above can be written in the form a, times y squared, plus b, where a and b are constants. What is the value of a, plus b ?

Enter your answer:

The expression above can be written in the form , where a and b are constants.

Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 6632. Applying the distributive property to the expression yields open parenthesis, 7532 plus 100 y squared, close parenthesis, plus, open parenthesis, 100 y squared, minus 1100, close parenthesis. Then adding together 7532 plus 100 y squared and 100 y squared, minus 1100 and collecting like terms results in 200 y squared, plus 6432. This is written in the form a, y squared, plus b, where a, equals 200 and b equals 6432. Therefore a, plus b equals, 200 plus 6432, which equals 6632.