Question

ПОМОГИТЕ ПЖЖЖ
МНОГО БАЛЛОВ!!!!! ​

Answer 1

1.

$\frac{36^3+73^3}{109} -36\cdot 73 = \frac{(36+73)\cdot (36^2-36\cdot 73+73^2)}{36+73}-36\cdot 73 = 36^2-36\cdot 73 +73^2-36\cdot 73 =\\\\=36^2-2\cdot 36\cdot 73 +73^2=73^2-2\cdot 36\cdot 73+36^2=(73-36)^2=37^2 =1369$

2.

a)

$3b^3+24=3\cdot (b^3+8)=3\cdot (b^3+2^3)=3\cdot (b+2)\cdot(b^2-2b+4)$

б)

$25x^2-10xy+y^2+20x-4y=((5x)^2-2\cdot 5\cdot xy+y^2)+4\cdot (5x-y) = \\ \\ = (5x-y)^2+4\cdot (5x-y) = (5x-y)\cdot (5x-y+4)$

в)

$xy^2-by^2-ax+ab+y^2-a=(y^2-a)+(ab-by^2)+(xy^2-ax) = \\ \\ = -(a-y^2)+b\cdot (a-y^2)-x\cdot (a-y^2)=(a-y^2)\cdot (-1+b-x) =(a-y^2)\cdot (b-x-1)$