Question

What is the factored form of 3x+24y?

3(x+8y)
3xy(x+8y)
3(3x+24y)
3xy(3x+24y)

Answer 1

3x+24y=3(x+8y)=3 is common for both the terms

Answer 2

$Given \: binomial \: linear \: expression :\\3x + 24y$

$Find \: HCF \: of \: 3 \: and \: 24 , we \:get$

$3 = 1\times 3$

$24 = 2 \times 2 \times 3$

$HCF (3,24) = 3$

$Now , 3x + 24y \\= \pink {3} x + \pink {3} \times 8 y \\= \pink {3}( x + 8y )$

Therefore.,

$\red { Factors \: of \: 3x+24y} \green {= \pink {3}( x + 8y )}$

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