Решение:<span><span>(<span>2,7x−3,2y</span>)</span><span>(<span>2,7x+3,2y</span>)</span>=</span>Раскрытие скобок:<span>7,29<span>x2</span>+8<span>1625</span>xy−8<span>1625</span>yx−10<span>625</span><span>y2</span>=</span><span>7,29<span>x2</span>−10<span>625</span><span>y2</span></span>Ответ: <span>7,29<span>x2</span>−10<span>625</span><span>y<span>2</span></span></span>
<span>2x^3-2xy^2-8x^2+8y^2 =2x</span>²(х-4)-2у²(х-4) =(х-4)(2х²-2у²)=2(х-4)(х²-у²)=
=2(х-4)*х-у)*(х+у)
<span>5a^2-5b^2-15a^3b+15ab^3=5(a</span>²-b²)-15ab(a²-b²)=(a²-b²<span>)(5-15ab)=
=5(a-b)(a+b)(1-3ab)
</span><span>a^2b^2-1-b^2+a^2 =b</span>²(a²-1)+(a²-1)=(a²-1)(b²+1)=(a-1)(a+1)(b²+1)
ax²+bx+c=a*(x-x₁)*(x-₂) разложение квадратного трехчлена на множители
5y²+2y-3=0, D=64. y₁=-1, y₂=3/5
5y²+2y-3=5*(y-(-1))*(y-3/5)=5*(y+1)*(y-3/5)