Разложите на множители:
1)c+d-c^2+d^2
2)12a^2b^3+3a^3b^2+16b^2-a^2
3)4x(y^2-9)+4x^2(y^2-9)-9+y^2
4)(a-b)(b^2-c^2)-(b-c)(a^2-b^2)
1)c+d-c^2+d^2
2)12a^2b^3+3a^3b^2+16b^2-a^2
3)4x(y^2-9)+4x^2(y^2-9)-9+y^2
4)(a-b)(b^2-c^2)-(b-c)(a^2-b^2)
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Verified answer
1)c+d-c^2+d^2=(с+d)-(c+d)(c-d)=(c+d)(1-c+d)2)12a^2b^3+3a^3b^2+16b^2-a^2=3a²b²(4b+a)+(4b+a)(4b-a)=
=(4b+a)(3a²b²+4b-a)
3)4x(y^2-9)+4x^2(y^2-9)-9+y^2=(y²-9)(4x+4x²-1)=(y-3)(y+3)(4x+4x²-1)
4)(a-b)(b^2-c^2)-(b-c)(a^2-b^2)=(a-b)(b-c)(b+c)-(b-c)(a-b)(a+b)=
=(a-b)(b-c)(b+c-a-b)=(a-b)(b-c)((c-a)