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If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference among the areas of the two sections within terms of a?
Because the question asks for the difference among the areas, you required to subtract the expressions: 6a + 2 - 5a. Subtract such as terms: 6a - 5a + 2 = 1a + 2; 1a = a, so the implied answer is a + 2.
application
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
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