A) y^10-18+6y^3-3y^7 = y^3(y^7 + 6) - 3(6 + y^7)B) m^2n +mn - 5 - 5m + n +mn = (m^2n + 2mn + n) - (5m + 5) = n(m^2 + 2m + 1) - 5(m + 1)C) m^2n + 2mn - 5 - 5m + n = n(m^2 + 2m + 1) - 5(m + 1)D) z^2 - 3z -18 = (z - 6)(z + 3)E) a^2 + 5ab + 4b^2 = (a + b)(a + 4b)F) t^2 + 4t -32 = (t + 8)(t - 4)G) 2 z^4 - 5 z^2 + 2 = (2z^2 - 1)(z^2 - 2)H) a^2 + b^2 + c^2 + 2ab + 2 ac + 2bc = (a + b + c)^2I) x^2y + xy ^2 + x^2 z + xz ^2 + y^2 z + yz^2 + 2xyz = x(y + z)^2 + y(x + z)^2 + z(x + y)^2
A) y^10-18+6y^3-3y^7 = y^3(y^7 + 6) - 3(6 + y^7)
B) m^2n +mn - 5 - 5m + n +mn = (m^2n + 2mn + n) - (5m + 5) = n(m^2 + 2m + 1) - 5(m + 1)
C) m^2n + 2mn - 5 - 5m + n = n(m^2 + 2m + 1) - 5(m + 1)
D) z^2 - 3z -18 = (z - 6)(z + 3)
E) a^2 + 5ab + 4b^2 = (a + b)(a + 4b)
F) t^2 + 4t -32 = (t + 8)(t - 4)
G) 2 z^4 - 5 z^2 + 2 = (2z^2 - 1)(z^2 - 2)
H) a^2 + b^2 + c^2 + 2ab + 2 ac + 2bc = (a + b + c)^2
I) x^2y + xy ^2 + x^2 z + xz ^2 + y^2 z + yz^2 + 2xyz = x(y + z)^2 + y(x + z)^2 + z(x + y)^2