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Answer :
To simplify the expression [tex]$$12x^3 - 5x^3,$$[/tex] we start by noticing that both terms contain the same variable factor, [tex]$$x^3$$[/tex]. When the terms share the same variable and exponent, we can combine them by subtracting the coefficients.
1. Write the expression with the coefficients emphasized:
[tex]$$12x^3 - 5x^3 = (12 - 5)x^3.$$[/tex]
2. Subtract the coefficients:
[tex]$$12 - 5 = 7.$$[/tex]
3. Multiply the result by the common factor:
[tex]$$7x^3.$$[/tex]
Thus, the simplified expression is [tex]$$7x^3,$$[/tex] which corresponds to option C.
1. Write the expression with the coefficients emphasized:
[tex]$$12x^3 - 5x^3 = (12 - 5)x^3.$$[/tex]
2. Subtract the coefficients:
[tex]$$12 - 5 = 7.$$[/tex]
3. Multiply the result by the common factor:
[tex]$$7x^3.$$[/tex]
Thus, the simplified expression is [tex]$$7x^3,$$[/tex] which corresponds to option C.
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