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RT 4 - Mathematical Knowledge Evaluate ((b-a)^(2)-3c)/((-a)^(3)), when a=4,b=5, and c=2 A quad5//12 B -5//12 C 5//64 D quad-5//64 Click the button or type the letter to the left of you

RT 44 - Mathematical Knowledge\newlineEvaluate (b−a)2−3c(−a)3 \frac{(b-a)^{2}-3 c}{(-a)^{3}} , when a=4,b=5 a=4, b=5 , and c=2 c=2 \newlineA 5/12 \quad 5 / 12 \newlineB −5/12 -5 / 12 \newlineC 5/64 5 / 64 \newlineD −5/64 \quad-5 / 64 \newlineClick the button or type the letter to the left of you

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Q. RT 44 - Mathematical Knowledge\newlineEvaluate (b−a)2−3c(−a)3 \frac{(b-a)^{2}-3 c}{(-a)^{3}} , when a=4,b=5 a=4, b=5 , and c=2 c=2 \newlineA 5/12 \quad 5 / 12 \newlineB −5/12 -5 / 12 \newlineC 5/64 5 / 64 \newlineD −5/64 \quad-5 / 64 \newlineClick the button or type the letter to the left of you
  1. Calculate values aa, bb, cc: Calculate the values of aa, bb, and cc in the expression.a=4a = 4, b=5b = 5, c=2c = 2.
  2. Substitute values into expression: Substitute the values of aa, bb, and cc into the expression (b−a)2−3c(−a)3\frac{(b-a)^{2}-3c}{(-a)^{3}}. Expression becomes (5−4)2−3×2(−4)3\frac{(5-4)^{2}-3\times 2}{(-4)^{3}}.
  3. Simplify expression step by step: Simplify the expression step by step.\newlineFirst, calculate (5−4)2=12=1(5-4)^{2} = 1^{2} = 1.\newlineThen, calculate −3⋅2=−6-3\cdot2 = -6.\newlineNext, calculate (−4)3=−64(-4)^{3} = -64.\newlineNow, substitute these values back into the expression: (1−6)/(−64)(1 - 6)/(-64).
  4. Simplify (1−6)/(−64)(1 - 6)/(-64): Simplify (1−6)/(−64)(1 - 6)/(-64).1−6=−51 - 6 = -5.So, the expression becomes −5/(−64)-5/(-64).
  5. Simplify −5−64-\frac{5}{-64}: Simplify −5−64-\frac{5}{-64}.−5−64-\frac{5}{-64} divided by −64-64 simplifies to 564\frac{5}{64}.

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