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40 votes
40 votes
PLEASE HELP QUICKLY!!! LOOK AT THE PICTURE ATTACHED!

PLEASE HELP QUICKLY!!! LOOK AT THE PICTURE ATTACHED!-example-1
User BigRedEO
by
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1 Answer

16 votes
16 votes

Answer:


{ \tt{16 {b}^(2) c {}^(12) - 0.25 }}

» Change the decimal to a fraction:


= { \tt{ {16b}^(2) {c}^(12) - (1)/(4) }} \\

» Change the other degrees to indices;

  • 16 = 4²
  • 4 = 2²


= { \tt{ \blue{( {4}^(2)) }} {b}^(2) {c}^(12) - \frac{1}{ \red{( {2}^(2) )}} } \\ \\ = { \tt{ {(4bc {}^(6) )}^(2) - (1)/(4) }}

» Factorize:


= { \tt{4}^(2) \{ ( {bc}^(6) ) {}^(2) - (1)/(4) \}} \\ \\ { \boxed{ \tt{ = 16 \{ { \blue{{(bc}^(6)) {}^(2) - (1)/(4) } \}}}}}

User Harikrishnan N
by
2.6k points