Question

weeklyquiz - 10 5.4 - 5.5: proble
(1 point)
evaluate each algebraic expression for the given value(s):
a) ( 4 + 4 ( x - 2 ) ^ { 3 } ), for ( x = 4 )
answer:

b) ( x ^ { 2 } - 2 ( x - y ) ), for ( x = 9 ) and ( y = 3 )
answer:

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Explanation:

Step1: Substitute \(x = 4\) into \(4+4(x - 2)^3\)

First, calculate \(x-2\): \(4 - 2=2\). Then, calculate \((x - 2)^3\): \(2^3=8\). Next, calculate \(4(x - 2)^3\): \(4\times8 = 32\). Finally, calculate \(4+4(x - 2)^3\): \(4+32=36\).

Step2: Substitute \(x = 9\) and \(y = 3\) into \(x^2-2(x - y)\)

First, calculate \(x - y\): \(9 - 3=6\). Then, calculate \(2(x - y)\): \(2\times6 = 12\). Next, calculate \(x^2\): \(9^2=81\). Finally, calculate \(x^2-2(x - y)\): \(81-12 = 69\).

Answer:

a) \(36\)
b) \(69\)