Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions provided by the students are shown below. Tanya 32 c + 16 c d Wyatt 8 c minus 48 c d Xavier 36 c minus 24 c Yang 8 c + 40 Which student wrote the correct expression? Tanya Wyatt Xavier Yang

Question

Mathematics

Gauge Robinson

13 January, 10:38

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions provided by the students are shown below. Tanya 32 c + 16 c d Wyatt 8 c minus 48 c d Xavier 36 c minus 24 c Yang 8 c + 40 Which student wrote the correct expression? Tanya Wyatt Xavier Yang

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Answers (1)

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Katelyn Wyatt · Answer 1

Wyatt wrote the correct expression

Step-by-step explanation:

Here we are to evaluate which of the students wrote an expression with the highest common factor being 8c

For Tanya; 32c + 16c; 16c (2 + 1); This is wrong as the highest common factor is 16c

For Wyatt, we have 8c - 48cd; factorizing, we have 8c (1-6cd); This is correct

For Xavier we have 36c-24c; 8 is not a factor of 36, so it won't work

For Yang 8c + 40; 8 (c + 5); what we are trying to look for is 8c and not 8 so this is wrong also