SOLUTION: Here is the multiple choice question:
Simplify ((−𝑥+1)/(x^2+3𝑥−4))*((8𝑥^2−4𝑥)/((𝑥−3)(𝑥+7))) and identify any restrictions on x
a. (3x^2+16x+16)/(x^
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Question 1154232: Here is the multiple choice question:
Simplify ((−𝑥+1)/(x^2+3𝑥−4))*((8𝑥^2−4𝑥)/((𝑥−3)(𝑥+7))) and identify any restrictions on x
a. (3x^2+16x+16)/(x^2+3x-4), x<>-2/3
b. (3x^2-3x+4)/(-3x-2) x<>-3
c. (3x+4)/(3x+2), x<>-2/3
d. (3x+4)/(3x+2), x<>-2/3,-4,1
based on the restrictions on x, c must be the correct answer, but I can't figure out how to simplify to that expression. (Although I can't figure out why x <> -4, 3 or -7 as well)
Most obvious simplification is (-4x(2x-1))/((x+4)(x-3)(x+7)) but I don't know where to go from there to get any of the proposed solutions
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
....do not forget that denominators cannot be equal to zero, so we need to count restriction
=> since denominators cannot be equal to zero, , ,, (restrictions
or
there is no option in the multiple choice
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