Question

7.scrie termenul care lipseste pentru a obtine patratul unei sume,apoi restrangeti

Answer 1

$\\ \huge \green{ Formula: }\\ \\ \green{a {}^{2} + 2ab + {b}^{2} = (a + b) {}^{2} }$

a) x²+6x +....

6x= 2ab =2•x•3→b=3

a²=x²→a=x

x²+6x+3²=

=x²+6x+9=(x+3)²

d) x²+14x+....

14x=2ab=2•x•7→b=7

a²=x²→a=x

x²+14x+7²=

=x²+14x+49=(x+7)²

g)x²+36x+...

36x=2ab=2•x•18→b=18

a²=x²→a=x

x²+36x+18²=

=x²+36x+324=(x+18)²

j)9x²+24x+...

a²=9x²→a=3x

24x=2ab=2•3x•4→b=4

9x²+24x+4²=

=9x²+24x+16=(3x+4)²