Răspuns:
a+b=a²+2ab+b²
25a²+30ab+9b²=
(5a)²+30ab+(3b)²=
(5a)²+2·5a·3b+(3b)²=
(5a + 3b)(5a + 3b)=
(5a+3b)²
Răspuns: [tex]\color{Blue}\Large \boxed{\bf \bigg(5a + 3b\bigg)^{2} }[/tex]
Explicație pas cu pas:
[tex]\color{orangered}\Large\boxed{\bf Formula: a^{2} \pm 2ab+b^{2} = \big(a\pm b\big)^{2}}[/tex]
[tex]\it~~[/tex]
[tex]\large \bf 25a^{2} +30ab+9b^{2} =[/tex]
[tex]\large \bf \big(5a\big)^{2} +2\cdot5a\cdot3b+\big(3b\big)^{2}=[/tex]
[tex]\color{red}\Large \boxed{\bf \big(5a + 3b\big)^{2} }[/tex]
==pav38==
