%2B(d%5E3%2B6d%2B9).jpeg "(d^2+6d+9)+(d^3+6d+9)")
Simplifying the Expression (d^2 + 6d + 9) + (d^3 + 6d + 9)
This article will guide you through simplifying the given expression, (d^2 + 6d + 9) + (d^3 + 6d + 9).
Understanding the Expression
The expression consists of two separate polynomials:
- (d^2 + 6d + 9) is a quadratic trinomial.
- (d^3 + 6d + 9) is a cubic trinomial.
These polynomials are being added together.
Combining Like Terms
To simplify, we combine terms with the same variable and exponent.
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Identify like terms:
- d^3 terms: Only the term d^3 is present.
- d^2 terms: Only the term d^2 is present.
- d terms: We have 6d and 6d.
- Constant terms: We have 9 and 9.
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Combine the coefficients of like terms:
- d^3 term: d^3
- d^2 term: d^2
- d term: 6d + 6d = 12d
- Constant term: 9 + 9 = 18
Simplified Expression
Combining all the terms, the simplified expression is:
d^3 + d^2 + 12d + 18
This is the most simplified form of the given expression.