a) If $(x + y) = 5$ and $xy = 3$, find the value of $x^2 + y^2$.
b) If $(a – b) = 4$ and $ab = 2$, find the value of $a^2 + b^2$.
c) If $left(x + frac{1}{x}right) = 3$, find the value of $x^2 + frac{1}{x^2}$.
d) If $left(p – frac{1}{p}right) = 7$, find the value of $p^2 + frac{1}{p^2}$.
Remember:
$(x + y)^2 = x^2 + 2xy + y^2$
and, $x^2 + y^2 = (x + y)^2 – 2xy$
a) If $(x + y) = 5$ and $xy = 3$, find the value of $x^2 + y^2$.
b) If $(a – b) = 4$ and $ab = 2$, find the value of $a^2 + b^2$.
c) If $left(x + frac{1}{x}right) = 3$, find the value of $x^2 + frac{1}{x^2}$.
d) If $left(p – frac{1}{p}right) = 7$, find the value of $p^2 + frac{1}{p^2}$.
Remember:
$(x + y)^2 = x^2 + 2xy + y^2$
and, $x^2 + y^2 = (x + y)^2 – 2xy$
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