Which pair of expressions below are equivalent? 5p+9p and 14p^(2) 5(9p) and 14 p 5(9p-8) and 45 p-8 5p+9q and 9q+5p

Question

Which pair of expressions below are equivalent?  5p+9p and  14p^(2)  5(9p) and  14 p  5(9p-8) and  45 p-8  5p+9q and  9q+5p

Bytelearn · Accepted Answer

Combine like terms: Combine like terms in the first pair of expressions. 5p + 9p = (5 + 9)p = 14pCompare simplified expressions: Compare the simplified expression to the second expression in the pair. 14p is not equal to 14p^(2) because the exponents are different.Simplify expressions: Simplify the second pair of expressions. 5(9p) = 45pCompare simplified expressions: Compare the simplified expression to the second expression in the pair. 45p is equal to 14p only if 45 equals 14, which is not true.Simplify expressions: Simplify the third pair of expressions. 5(9p - 8) = 45p - 40Compare expressions: Compare the simplified expression to the second expression in the pair. 45p - 40 is not equal to 45p - 8 because the constants are different.Confirm equivalence: Check if the fourth pair of expressions are equivalent. 5p + 9q is a rearrangement of 9q + 5p because addition is commutative.Confirm that the expressions in the fourth pair are indeed equivalent. Since 5p + 9q is the same as 9q + 5p, we have found the pair of equivalent expressions.

Which pair of expressions below are equivalent? $\newline$ $5 p+9 p$ and $14 p^{2}$ $\newline$ $5(9 p)$ and $14 p$ $\newline$ $5(9 p-8)$ and $45 p-8$ $\newline$ $5 p+9 q$ and $9 q+5 p$

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Which pair of expressions below are equivalent?\newline5p+9p 5 p+9 p 5p+9p and 14p2 14 p^{2} 14p2\newline5(9p) 5(9 p) 5(9p) and 14p 14 p 14p\newline5(9p−8) 5(9 p-8) 5(9p−8) and 45p−8 45 p-8 45p−8\newline5p+9q 5 p+9 q 5p+9q and 9q+5p 9 q+5 p 9q+5p

Which pair of expressions below are equivalent? $\newline$ $5 p+9 p$ and $14 p^{2}$ $\newline$ $5(9 p)$ and $14 p$ $\newline$ $5(9 p-8)$ and $45 p-8$ $\newline$ $5 p+9 q$ and $9 q+5 p$