10

Set 4: Quadratic Equations (Advanced)

Explanation

Answer: A

Simplify: (2x3)25(2x - 3)^2 - 5

A.

4x212x+44x^2 - 12x + 4

✓ Correct
B.

4x26x+44x^2 - 6x + 4

C.

4x212x144x^2 - 12x - 14

D.

2x212x+42x^2 - 12x + 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Expand (2x3)2(2 x - 3)^2: (2x)22(2x)(3)+32=4x212x+9(2 x)^2 - 2(2 x)(3) + 3^2 = 4 x^2 - 12 x + 9. 2. Subtract 5: (4x212x+9)5(4 x^2 - 12 x + 9) - 5. 3. Simplify: 4x212x+44x^2 - 12 x + 4. Choice B is incorrect because the middle term is 2(2x)(3)=12x-2(2 x)(3) = -12 x, not 6x-6 x. Choice C is incorrect because it subtracts 5 from -9 (sign error). Choice D is incorrect because (2x)2=4x2(2 x)^2 = 4 x^2, not 2x22x^2.

Key Steps:

The correct answer is 4x212x+44x^2 - 12x + 4

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎉 Set Complete!

You've reviewed all explanations. Ready to try another set?

🎯 Keep Practicing!

Master all sections for your best SAT score