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$[(9f+9)+(9f+9+1)]\cdot f$ which of the following expressions is eqivilant to the expression given

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Multiplication with rational exponents

Full solution

Q.

[(9f+9)+(9f+9+1)]\cdot f

which of the following expressions is eqivilant to the expression given

Combine Like Terms: Combine like terms inside the brackets. $\newline$ We have two like terms, $9f$ and $9f$ , and two constants, $9$ and $9$ , which can be combined. The term $+1$ is also a constant that can be added to the sum of the other constants. $\newline$ $[(9f + 9f) + (9 + 9 + 1)]\cdot f$ $\newline$ $= [18f + (18 + 1)]\cdot f$ $\newline$ $= [18f + 19]\cdot f$
Distribute Multiplication: Distribute the multiplication over the addition inside the brackets. $\newline$ Now we multiply each term inside the brackets by $f$ . $\newline$ $[18f + 19]*f$ $\newline$ $= 18f*f + 19*f$ $\newline$ $= 18f^2 + 19f$

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