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In the expression 14 + 10c +10d² + d³ + 2d³+10c³, which terms have 13d³as a like term?

a) d³ and 2d³
b) 10d² and 13d³
c) d³ and 10c³
d) 10c and 10d²

1 Answer

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Final answer:

The terms in the expression that have 13d³ as a like term are d³ and 2d³, since they both contain the variable d raised to the third power. No other terms in the expression are like terms with 13d³.

Step-by-step explanation:

In the expression 14 + 10c + 10d² + d³ + 2d³ + 10c³, the terms that have 13d³ as a like term are d³ and 2d³. This is because they both contain the variable d raised to the third power, which means they can be combined by addition or subtraction.

When we combine and 2d³, we get 3d³. However, 13d³ is not directly found in the expression, and it is actually not a like term with any other terms in the given expression. The other terms such as 10d² and 10c³ are not like terms with 13d³ because their variables and exponents do not match.

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