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Evaluate the expression x^(3)+x^(2) for x=4.

Evaluate the expression x3+x2 x^{3}+x^{2} for x=4 x=4 .

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Full solution

Q. Evaluate the expression x3+x2 x^{3}+x^{2} for x=4 x=4 .
  1. Substitute xx with 44: We are given the expression x3+x2x^{3}+x^{2} and the value x=4x=4. We need to substitute xx with 44 in the expression and then simplify it.\newlineSubstitute 44 for xx in the expression x3+x2x^{3}+x^{2}.\newlinex3+x2=43+42x^{3}+x^{2} = 4^{3}+4^{2}
  2. Calculate powers of 44: Now we need to calculate the powers of 44.\newlineCalculate 434^{3} which is 4×4×44\times4\times4.\newline43=644^{3} = 64\newlineThen calculate 424^{2} which is 4×44\times4.\newline42=164^{2} = 16
  3. Add results together: Add the results of 434^{3} and 424^{2} together to find the final value of the expression.\newline64+16=8064 + 16 = 80

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