What is the product of (3a 2)(4a2 – 2a 9)?12a3 − 2a 1812a3 6a 912a3 − 6a2 23a 1812a3 2a2 23a 18

2 answers:

5 0

To get the product of (3a + 2) and (4a² - 2a + 9), we can apply the rules of distribution over multiplication and have 3a(4a² - 2a + 9) + 2(4a² - 2a + 9) 12a³ - 6a² + 27a + 8a² - 4a + 18 Adding like terms of the same degree, we can simplify it into 12a³ + 2a² + 23a + 18 Therefore, the answer is D<span>. </span>

liq [111]3 years ago

3 0

Answer: D. 12a^3 + 2a^2 + 23a + 18

Step-by-step explanation: This answer is 100% correct for edge.nuity.

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$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\: Concept }}}$

➣ Given two paris are linear pairs
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➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

$\large\underline{ \boxed{ \sf{✛\: Assumptions\:✛ }}}$

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$\large\underline{ \boxed{ \sf{✰\: let's\:solve }}}$

$\rm\angle \: p + \angle \: q = 180 \degree \\$

★ Substituting values

$\rm { \pink➾ \:( 3x - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm { \pink➾6x = 180 + 12}$