Question

1) x^{2}+2xy + y x^{2} 2) y^{2}-2xy+x^{2}
3)4a^{2}-4ab+b ^{2} 4) a^{2}-6a+a 5)81a ^{2} b^{2} +36a ^{2}b+4b ^{2}

Answer 1

$x^{2} -2xy + y^{2} = (x+y)^{2}$


$y^{2}-2xy + x^{2} = (y-x)^{2}$


$4 a^{2}-4ab + b ^{2} = (2a-b)^{2}$



$a^{2} -6a + a = a^{2}-5a = a(a-5)$




$81a^{2} b^{2} +36ab^{2} +4 b^{2} = (9ab+2b)(9ab+2b)$