Question

What value of t makes the statement true? (4x3 5)(2x3 3) = 8x6 tx3 15.

Answer 1

The mathematical statement is true when the value of t is 22

The equation is given as:

$(4x^3- 5)(2x^3 -3) = 8x^6 -tx^3 +15$

Expand the expression on the left-hand side

$4x^3(2x^3 -3)- 5(2x^3 -3) = 8x^6 -tx^3 +15$

Distribute the expression

$8x^6 -12x^3- 10x^3 +15 = 8x^6 -tx^3 +15$

Evaluate like terms

$8x^6 -22x^3 +15 = 8x^6 -tx^3 +15$

By comparing the expressions on both sides of the equation, we have:

$-22x^3= -tx^3$

Divide both sides of the equation by -x^3

$22= t$

Rewrite as:

$t =22$

Hence, the mathematical statement is true when the value of t is 22

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