Evaluate when a = 9, b = 6.a−b3a−b3
When a = 9 and b = 6, the expression a - b^3 can be evaluated as follows:
a - b^3 = 9 - 6^3
Simplifying further:
9 - 6^3 = 9 - 216 = -207
Therefore, when a = 9 and b = 6, the expression a - b^3 evaluates to -207.
To evaluate the expression a-b/3a-b, we substitute the given values a = 9 and b = 6 into the expression.
Step 1: Substitute the values of a and b into the expression.
a - b/3a - b = 9 - 6/3(9) - 6
Step 2: Evaluate the numerator and denominator separately.
9 - 6 = 3
Step 3: Continue evaluating the expression.
3/3(9) - 6 = 3/27 - 6
Step 4: Simplify the numerator.
3/27 - 6 = 1/9 - 6
Step 5: Convert 6 into a fraction with denominator 9.
1/9 - 6 = 1/9 - 54/9
Step 6: Perform the subtraction of fractions.
1/9 - 54/9 = -53/9
Therefore, when a = 9 and b = 6, the value of a-b/3a-b is -53/9.
To evaluate the expression a−b/3a−b/3 when a = 9 and b = 6, we substitute the given values into the expression and simplify step by step.
Step 1: Substitute the given values for a and b into the expression:
a−b/3a−b/3 = 9−6/3(9−6)/3
Step 2: Simplify the numerator and denominator separately:
9−6 = 3
9−6 = 3
Step 3: Substitute the simplified numerator and denominator back into the expression:
3/3
Step 4: Simplify the fraction:
3/3 = 1
Therefore, when a = 9 and b = 6, a−b/3a−b/3 evaluates to 1.