Question

16 Scrieți următoarele numere sub formă de produs, utilizând factorul comun:

Answer 1

Răspuns:

a)

${2}^{35} (1 + {2}^{2} + {2}^{4} ) = {2}^{35} \times 21$

b)

${9}^{999} ( {9}^{2} + 9 + 7) = {9}^{999} \times 97$

c)

${4}^{34} (7 \times 4 + 2 \times {4}^{2} - 1) = {4}^{34} \times 59$

d)

${8}^{197} ( {8}^{3} - 3 \times 8 + 2) = {8}^{197} \times 490$

e)

${46}^{134} (46 + 5 \times {46}^{2} - 1) = {46}^{134} \times 10625$

f)

${2}^{99} ( {2}^{3} - {2}^{2} - 2 - 1) = {2}^{99} \times 1 = {2}^{99}$

Answer 2

Răspuns:

a) 2³⁵(1+2²+2⁴)=2³⁵(1+4+16)=2³⁵21

b) 9⁹⁹⁹(9²+9+7)=9⁹⁹⁹(81+9+7)=9⁹⁹⁹97

c) 4⁴³·(7·4+2·4²-1)=4⁴³(28+32-1)=4⁴³·59

d) 8¹⁹⁷·(8³-3·8+2)=8¹⁹⁷(512-24+2)=8¹⁹⁷·490

e) 46¹³⁴·(46+5·46²-1)=46¹³⁴·(46+10580-1)=46¹³⁴·10625

f) 2⁹⁹·(2³-2²-2-1)=2⁹⁹·(8-4-2-1)=2⁹⁹