Question #6412572Single Choice

Algebra-1

Question

Which of the following formulas can be simplified to:

16x²+ 40x + 25

Options

A

(16x + 5 )²

B

(8x + 5 )²

C

(4x + 2 )²

D

(4x + 5 )²

Answer & Analysis

Answer

D

Analysis

Let's expand each of the given formulas using the formula (a + b)² = a² + 2ab + b²:

For option A:
a = 16x, b = 25
then, (16x + 25 )² = (16x)² + 2(16x)(25) + (25)² = 256x² + 800x + 625.

For option B:
a = 8x, b = 5
then, (8x + 5 )² = (8x)² + 2(8x)(5) + (5)² = 64x² + 80x + 25.

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