What is the HCF of 60 and 96?

Mathematics

2 answers:

Bond [772]3 years ago

7 0

<h2>Hey there!</h2>

$\bold{Highest\ Common\ Factor\ \ HCF\ of\ 60\ \& \ 96 }$

$\bold{Finding\ your\ Prime\ Factorization \ in\ your\ given\ numbers!}$

$\bold{60:2\times2\times3\times5}$

$\bold{96:2\times2\times2\times2\times2\times3}$

$\bold{Your\ Greatest\ Common\ Factor(GCF): 2\times2\times3}$

$\bold{2\times2\times3}\\ \bold{2\times2=4}\\ \bold{4\times3=12}$

$\boxed{\boxed{\bold{Answer: HCF \rightarrow \bold{\underline{12}}}}}\checkmark$

<h2>Good luck on your assignment and enjoy your day!</h2>

~ $\frak{LoveYourselfFirst:)}$

pochemuha3 years ago

4 0

Answer:
12

Explanation:
20 words do be annoying

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What is the difference?

Crazy boy [7]

Answer:

<h2>D. $\frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\$ or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>

Step-by-step explanation:

Given the expression $\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }$ , the dfference is expressed as follows;

Step1: First we need to factorize the denominator of each function.

$\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\$

Step 2: We will find the LCM of the resulting expression

$= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\$