2007-11-28 16:23:09 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
24x²y - 72xy + 54y
= 6y(4x² - 12x + 9)
= 6y((2x)² - 2(2x)3 + 3²)
= 6y(2x-3)²
2007-11-28 16:26:33 · answer #1 · answered by gudspeling 7 · 0⤊ 0⤋
first take out a y:
y(24x^2-72x+54) Then the numbers have a common factor of 6
6y(4x^2-12x+9). Finally, factor out 4x^2-12x+9. Generally you can solve by factoring or using the quadratic formula, but the version here is a perfect square as it is (just 2x-3)^2. Therefore, your answer is
6y(2x-3)^2.
2007-11-28 16:28:19 · answer #2 · answered by Mother Pucker 3 · 0⤊ 0⤋
Factor out six and y
6y(4x^2-12x+9)
Recognize it's a perfect square from experience or notice that b^2-4ac=0: 144-144=0.
6y(2x-3)^2
2007-11-28 16:29:12 · answer #3 · answered by someone2841 3 · 0⤊ 0⤋
6y(2x-3)²
2007-11-29 13:42:35 · answer #4 · answered by catsfanj 3 · 0⤊ 1⤋