Pertanyaan

Nilai dari 2021 ( 201 8 2 − 1 ) 2019 ( 201 8 2 − 9 ) 2017 adalah ...

Nilai dari $\frac{2019 ( 201 8 ^{2} - 9 ) 2017}{2021 ( 201 8 ^{2} - 1 )}$ adalah ...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

.

$fraction numerator 2019 open parentheses 2018 squared minus 9 close parentheses 2017 over denominator 2021 open parentheses 2018 squared minus 1 close parentheses end fraction equals 2015$ .

Pembahasan

Dengan menggunakan rumus diperoleh Dengan demikian .

Dengan menggunakan rumus a squared minus b squared equals open parentheses a plus b close parentheses open parentheses a minus b close parentheses diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2019 open parentheses 2018 squared minus 9 close parentheses 2017 over denominator 2021 open parentheses 2018 squared minus 1 close parentheses end fraction end cell equals cell fraction numerator 2019 open parentheses 2018 squared minus 3 squared close parentheses 2017 over denominator 2021 open parentheses 2018 squared minus 1 squared close parentheses end fraction end cell row blank equals cell fraction numerator 2019 open parentheses 2018 plus 3 close parentheses open parentheses 2018 minus 3 close parentheses 2017 over denominator 2021 open parentheses 2018 plus 1 close parentheses open parentheses 2018 minus 1 close parentheses end fraction end cell row blank equals cell fraction numerator 2019 open parentheses 2021 close parentheses open parentheses 2015 close parentheses 2017 over denominator 2021 open parentheses 2019 close parentheses open parentheses 2017 close parentheses end fraction end cell row blank equals 2015 end table$

Dengan demikian $fraction numerator 2019 open parentheses 2018 squared minus 9 close parentheses 2017 over denominator 2021 open parentheses 2018 squared minus 1 close parentheses end fraction equals 2015$ .