How does the answer come out to be choice D?

2009-02-07 7:15 am
Evaluate the following algebraic expression:

2(5x - 3)^2

A) 10x - 6

B) 10x + 9

C) 50x^2 +18

D) 50x^2 - 60x + 18

回答 (6)

2009-02-07 7:19 am
✔ 最佳答案
2(5x - 3)^2
= 2(5x - 3)(5x - 3)
= 2(5x*5x - 3*5x - 5x*3 + 3*3)
= 2(25x^2 - 15x - 15x + 9)
= 2(25x^2 - 30x + 9)
= 2*25x^2 - 2*30x + 2*9
= 50x^2 - 60x + 18
(answer D)
2009-02-07 3:54 pm
2(5x - 3)^2

= 2(5x - 3)(5x - 3)

= 2(5x*5x - 3*5x - 5x*3 + 3*3)

= 2(25x^2 - 15x - 15x + 9)

= 2(25x^2 - 30x + 9)

= 2*25x^2 - 2*30x + 2*9

= 50x^2 - 60x + 18
2009-02-07 3:28 pm
2(5x - 3)^2

=2(5x-3)(5x-3)

=2*5x(5x-3)-2*3(5x-3)

=10x^2-30x-30x+18

=50x^2 - 60x + 18
2009-02-07 3:23 pm
2(5x-3)^2
=2(5x-3)(5x-3)
=2(25x^2-15x-15x+9)
=2(25x^2-30x+9)
=50x^2-60x+18 answer

Answer is D) 50x^2-60x+18
2009-02-07 3:20 pm
2(5x - 3)^2 = 2(25x^2 - 2*5*3x +9) =
2(25x^2 -30x +9) = 50x^2 -60x +18
2009-02-07 3:19 pm
D) 50x^2 - 60x + 18


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