Evaluate the product ( a -1/a)(a+1/a)(a^2+1/a^2) for a = -2.
Answers
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Answer:
14.062
Step-by-step explanation:
1. Simplify the expression
Calculate the expression inside the parentheses.
(-2-1/-2)*(-2+1/-2)*(-2^2-1/(-2^2))
Simplify exponents and square roots
(-2-1/-2)*(-2+1/-2)*(-2^2-1/(-2^2))
(-2-1/-2)*(-2+1/-2)*(-2^2-1/(4))
Perform any multiplication or division, from left to right:
(-2-1/-2)*(-2+1/-2)*(-2^2-1/4)
(-2--0.5)*(-2+1/-2)*(-2^2-1/4)
Calculate any addition or subtraction, from left to right.
(-2--0.5)*(-2+1/-2)*(-2^2-1/4)
(-2+0.5)*(-2+1/-2)*(-2^2-1/4)
(-1.5)*(-2+1/-2)*(-2^2-1/4)
Perform any multiplication or division, from left to right:
-1.5*(-2+1/-2)*(-2^2-1/4)
-1.5*(-2+-0.5)*(-2^2-1/4)
Calculate any addition or subtraction, from left to right.
-1.5*(-2+-0.5)*(-2^2-1/4)
-1.5*(-2-0.5)*(-2^2-1/4)
-1.5*(-2.5)*(-2^2-1/4)
Simplify exponents and square roots
-1.5*-2.5*(-2^2-1/4)
-1.5*-2.5*(4-1/4)
Perform any multiplication or division, from left to right:
-1.5*-2.5*(4-1/4)
-1.5*-2.5*(4-0.25)
Calculate any addition or subtraction, from left to right.
-1.5*-2.5*(4-0.25)
-1.5*-2.5*(3.75)
Perform any multiplication or division, from left to right:
-1.5*-2.5*3.75
3.75*3.75
14.062