simplify a(b - c)^2 + b(c - a) if a = -1, b = 2, and c = -5.

Explanation:

Step1: Calculate the value of $(b - c)$

$b - c=2-(-5)=2 + 5=7$

Step2: Calculate the value of $(b - c)^2$

$(b - c)^2=7^2 = 49$

Step3: Calculate the value of $(c - a)$

$c - a=-5-(-1)=-5 + 1=-4$

Step4: Calculate $a(b - c)^2$

$a(b - c)^2=-1\times49=-49$

Step5: Calculate $b(c - a)$

$b(c - a)=2\times(-4)=-8$

Step6: Calculate the final result

$a(b - c)^2 + b(c - a)=-49+(-8)=-49 - 8=-57$

Answer:

$-57$