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-BARSIC- [3]
3 years ago
13

Find the value of the expression x3−y3+x2+y2+3 by substituting x=−2 and y=1.

Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3

\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3

\\ \sf\dashrightarrow -8-1+4+1+3

\\ \sf\dashrightarrow -9+8

\\ \sf\dashrightarrow -1

Masteriza [31]3 years ago
8 0

Answer: -1

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

<u>Given information</u>

x = -2

y = 1

<u />

<u>Given expression</u>

x³ - y³ + x² + y² + 3

<u>Substitute values into the expression</u>

=(-2)³ - (1)³ + (-2)² + (1)² + 3

<u>Simplify exponents</u>

=-8 - 1 + 4 + 1 + 3

<u>Simplify by simple operation (addition/subtraction)</u>

=-9 + 4 + 1 + 3

=-5 + 1 + 3

=-4 + 3

=\boxed {-1}

Hope this helps!! :)

Please let me know if you have any questions

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