Question

(2√a+3√b)²+(2√a+3√b)*(2√a-3√b)

только в первом с квардратом

Answer 1

(2sqrt(a)+3sqrt(b))^2 + ((2sqrt(a)+3sqrt(b))(2sqrt(a)-3sqrt(b))=

=4a+12Sqrt(ab)+9b+4a-9b=

=8a+12sqrt(ab)=4(2a+3sqrt(ab))

Answer 2

$(2sqrt{a}+3sqrt{b})^{2}+(2sqrt{a}+3sqrt{b})cdot(2sqrt{a}-3sqrt{b})=((2sqrt{a})^{2}+2cdot2sqrt{a}cdot3sqrt{b}+(3sqrt{b})^{2})+(2sqrt{a}cdot2sqrt{a}-2sqrt{a}cdot3sqrt{b}+2sqrt{a}cdot3sqrt{b}+(3sqrt{b})cdot(-3sqrt{b})=(4a+12sqrt{ab}+9b)+(4a-9b)=4a+12sqrt{ab}+9b+4a-9b=(4a+4a)+12sqrt{ab}+(9b-9b)=8a+12sqrt{ab}$