Question

(a +b)(a+b+2)-(a-b)(a-b-2) разложить на множители

Answer 1

$(a +b)(a+b+2)-(a-b)(a-b-2) = \=a^2+ab+2a+ab+b^2+2b-(a^2-ab-2a-ab+b^2+2b)= \ =a^2+2ab+2a+b^2+2b-a^2+2ab+2a-b^2-2b= \ =4ab+4a=4a(b+1)$