Issolvi 216m^6-27n^6

$$216 m ^ { 6 } - 27 n ^ { 6 }$$

Fattur

$$27\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Passi tas-Soluzzjonijiet

Iffattura 'l barra 27.

$$27\left(8m^{6}-n^{6}\right)$$

Ikkunsidra li 8m^{6}-n^{6}. Erġa' ikteb 8m^{6}-n^{6} bħala \left(2m^{2}\right)^{3}-\left(n^{2}\right)^{3}. Id-differenza tal-kubi tista' tiġi fatturata billi tuża r-regola: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

$$\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Erġa' ikteb l-espressjoni ffatturata kompluta.

$$27\left(2m^{2}-n^{2}\right)\left(4m^{4}+2m^{2}n^{2}+n^{4}\right)$$

Evalwa

$$216m^{6}-27n^{6}$$