Question

Wzory skróconego mnożenia !!
Oblicz :
a) (4√6 - 10)(√6+2)²
b) (13 + 4√3)(1 - 2√3)²

Answer 1

(4√6 - 10)(√6+2)²=(4√6-10)(6+4√6+4)=(4√6-10)(10+4√6)=(4√6)²-10²=
16*6-10=96-100=-4

 (13 + 4√3)(1 - 2√3)²= (13 + 4√3)(1 - 4√3+12)= (13 + 4√3)(13-4√3)=13²-(4√3)²=
169-16*3=169-48=121

Answer 2

(4√6-10)(√6+2)²=(4√6-10)(6+4√6+4=(4√6-10)(10+4√6)²-10²=16*6-10²=96-100=-4
(13+4√3)(1-2√3)²=(13+4√3)(1-4√3+12)=(13+4√3)(13-4√3)=13²-(4√3)=169-16*3=
=169-48=121