Astudent was asked to find the square of 7x+3. the student quickly wrote (7x+3)^2=49x^2+9. identify the students error and provide the correct answer.

The student did not use the FOIL method to solve the binomials. The FOIL method is used to multiply binomials, or to multiply (x + 3) by (3x -12).

Correct (7x+3)^2= 49x^2 + 42x + 9

Explanation: Use the FOIL method: First, Outer, Inner, Last

(7x+3)(7x+3)

First: (7x)(7x) = 49x^2

Outer: (7x)(3) = 21x

Inner: (3)(7x) = 21x

Last: (3)(3) = 9

49x^2 + 21x + 21x + 9 = 49x^2 + 42x + 9

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