Question

(6✓2+2✓24)² va rog
dau coroana ​

Answer 1

Răspuns:

(6V2+2V24)²

=(6V2+4V6)²

=6V2²+2×6V2×4V6+4V6²

=72+48V12+96

=72+48×2V3+96

=72+96V3+96

=168+96V3

Formule de calcul prescurtat:

● (a+b)²=a²+2×a×b+b²

●(a-b)²=a²-2×a×b+b²

●(a+b)×(a-b)=a²-b²

Obs:(a+b)×(b-a)=b²-a²

Explicație pas cu pas:

Sper că te-am ajutat.

Answer 2

$\green{ \huge \bf{formula:}}$

$\green{ \bf(a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} }$

$2 \sqrt{24} = 2 \sqrt{ {2}^{2} \times 6 } = 4 \sqrt{6}$

$(6 \sqrt{2} + 2 \sqrt{24} ) {}^{2} = (6 \sqrt{2} + 4 \sqrt{6} ) {}^{2} = \\ = {6}^{2} \sqrt{2} {}^{2} + 2 \times 6 \sqrt{2} + 4 \sqrt{6} + {4}^{2} \sqrt{6} {}^{2} = \\ = 36 \times 2 + 2 \times 4 \times 6 \sqrt{2 \times 6} + 16 \times 6 = \\ = 72 + 48\sqrt{12} + 96 = \\ = 168 + 48 \sqrt{ {2}^{2} \times 3} = 168 + 48 \times 2 \sqrt{3} = \\ = 168 + 96 \sqrt{3}$