The mathematical statement is true when the value of t is 22
The equation is given as:
[tex](4x^3- 5)(2x^3 -3) = 8x^6 -tx^3 +15[/tex]
Expand the expression on the left-hand side
[tex]4x^3(2x^3 -3)- 5(2x^3 -3) = 8x^6 -tx^3 +15[/tex]
Distribute the expression
[tex]8x^6 -12x^3- 10x^3 +15 = 8x^6 -tx^3 +15[/tex]
Evaluate like terms
[tex]8x^6 -22x^3 +15 = 8x^6 -tx^3 +15[/tex]
By comparing the expressions on both sides of the equation, we have:
[tex]-22x^3= -tx^3[/tex]
Divide both sides of the equation by -x^3
[tex]22= t[/tex]
Rewrite as:
[tex]t =22[/tex]
Hence, the mathematical statement is true when the value of t is 22
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