The rate law for the first reaction is
"V = [A]^2[B]"
We can see that in the second reaction the concentration of all species is doubled, then the rate law is:
"V = [2A]^2[2B] = 2^2[A]^22[B]= 8[A]^2[B]"
we can see then when we double the concentration of all species the rate of the reaction increases eight times.
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