Question

16 Scrieti următoarele numere sub formă de produs, utilizând factorul comun:
a 2^35-2^37-22^39,

b 9^1001 - 9^1000 - 7×9^999.

c7×4^35+2×4^36-4^34,

d 8^200 -3×8^198+2×8^197;

e 46^135+5×463^136-46^134

f 2^102 - 2^101-2^100 - 2^99.

Va rog! E urgent! Dau coroana!​

Answer 1

Răspuns:

a)

${2}^{35} (1 - {2}^{2} - {2}^{4} ) = {2}^{35} \times ( - 19)$

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)

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

b)

${9}^{999} ( {9}^{2} - 9 - 7) = {9}^{999} \times 65$