m^2+11n-mn-11m9-a^2-b^2-2ab1/2x^2+2xy+2y^2

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m^2+11n-mn-11m9-a^2-b^2-2ab1/2x^2+2xy+2y^2
m^2+11n-mn-11m
9-a^2-b^2-2ab
1/2x^2+2xy+2y^2

m^2+11n-mn-11m9-a^2-b^2-2ab1/2x^2+2xy+2y^2
m² + 11n - mn - 11m
= (m² - mn) - (11m - 11n)
= m(m - n) - 11(m - n)
= (m - n)(m - 11)
9 - a² - b² - 2ab
= 9 - (a² + b² + 2ab)
= 9 - (a + b)²
= (3 + a + b)(3 - a - b)
1/2x² + 2xy + 2y²
= 1/2 (x² + 4xy + 4y²)
= 1/2 (x + 2y)²

m^2+11n-mn-11m=m(m-n)+11(n-m)=(m-11)(m-n)
9-a^2-b^2-2ab=9-(a+b)^2=(3-a-b)(3+a+b)
1/2x^2+2xy+2y^2=(x^2+4xy+4y^2)/2=(x+2y)^2 /2

1.M(M-N)+11(M-N)=(M-N)(-11+M)
2.9-(A+B)^2=(3-A-B)(3+A+B)
3.(1/2X+Y)(X+2Y)