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Answer :
Final answer:
The expression (18x^4 + 21x^3) ÷ 3x^2 simplifies to 6x^2 + 7x. The simplification involves dividing each term in the numerator by the denominator and subtracting the exponents.
Explanation:
To simplify the expression (18x^4 + 21x^3) ÷ 3x^2, you can apply the rule that when dividing like terms, you subtract exponents. Then step-by-step, the simplification can be done as follows:
- First, divide each term in the numerator by the denominator, individually. This gives 18x^4 ÷ 3x^2 + 21x^3 ÷ 3x^2.
- Each term can be simplified further. The first term becomes 6x^2 (because you subtract the exponent 2 from 4 and divide 18 by 3) and the second term becomes 7x (since you subtract the exponent 2 from 3 and divide 21 by 3).
- The fully simplified expression is therefore 6x^2 + 7x.
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