Simplify (a+b)(a-c)(b-c) divided by (b+a)(c-a)(c-b).
- -1
- 1
- (a+b)(a-c)(b-c)
Explanation
The (a + b) and (b + a) factors are equal and cancel. The remaining (a - c)/(c - a) equals -1 and (b - c)/(c - b) equals -1, since each numerator is the negative of its denominator. The product of the two -1 values is +1.
muzammil asking:
The first option seems more appropriate here
Community Comments (4)
D
dimky Posts: 514 27.11.2012 / 19:25
Hey!
Correct answer is "1" :)
Correct answer is "1" :)
R
razvan.stanoiu Posts: 1 22.04.2017 / 22:50
(a + b) • (a - c) • (b - c)
Simplify ——————————
(a + b) • (c - a) • (c - b)
Canceling Out :
1. Rewrite (c-a)=(-1)•(a-c) and (c-b)=(-1)•(b-c)
2. Cancel out.
(a + b) • (a - c) • (b - c)
————————————— = 1
(a + b) • (-1)•(a-c) • (-1)•(b-c)
Simplify ——————————
(a + b) • (c - a) • (c - b)
Canceling Out :
1. Rewrite (c-a)=(-1)•(a-c) and (c-b)=(-1)•(b-c)
2. Cancel out.
(a + b) • (a - c) • (b - c)
————————————— = 1
(a + b) • (-1)•(a-c) • (-1)•(b-c)
M
maje90 Posts: 2 22.04.2024 / 14:23
La respuesta correcta es -1. Y si vas invertir los valores, se invierten todos no solo los que te interesa.
M
maje90 Posts: 2 22.04.2024 / 18:32
Simplificado (a+b)/a+b) y nos sobra (a-c)(b-c)/(c-a)(c-b)
(a-c)(b-c)/(-1){(a-c)((b-c)} Simplificamos de nuevo y nos queda 1/(-1) = -1.
(a-c)(b-c)/(-1){(a-c)((b-c)} Simplificamos de nuevo y nos queda 1/(-1) = -1.
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