Algebra · real student question

Evaluate x^2 - 5(x - y) for x = 8 and y = 4.

Question

Evaluate the algebraic expression x2−5(x−y)x^2-5(x-y) for x=8x=8 and y=4y=4.

Step-by-step solution

  1. Substitute the given values. Replace each variable, keeping the parentheses intact: 82−5(8−4).8^2-5(8-4). Keeping the grouping is essential — 55 multiplies the whole difference, not just the 88.

  2. Work inside the parentheses first. 8−4=48-4=4, so the expression is 82−5(4)8^2-5(4).

  3. Evaluate the exponent. 82=648^2=64, giving 64−5(4)64-5(4). Exponents come before multiplication in the order of operations.

  4. Multiply. 5(4)=205(4)=20, so the expression is 64−2064-20.

  5. Subtract to finish. 64−20=4464-20=44.

Answer

4444

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