Question

Помогите решить задач по алгебре

Answer 1

$1. (x^2-3)^2=x^4-6x^2+9$
$2. (2x+5y)^2=4x^2+20xy+25y^2$
$3. (a-5)(b-5)=ab-5a-5b+25$
$4. (4a-y)(4a+y)=16a^2-y^2$

$1. (2a^3-3b^2)-(2a^3+b^2)^2=2a^3-3b^2-(4a^9+4a^3b^2+b^4)=$
$=2a^3-3b^2-4a^9-4a^3b^2-b^4=2a(a^2-2a^8)-b^2(3+b^2)-4a^3b^3$
$2. x^4+10x^2y+25y^2= (x^2+5y)^2$