Question

分别写出先用提公因式法，再用平方差公式、先用提公因式法，再用完全平方公式分解的多项式，并分解 各5个

Answer 1

ax^2-a=a(x+1)(x-1)
x^3y-4xy^3=x^2y(x+2y)(x-2y)
a^3b^2-ab^4=ab^2(a+b)(a-b)
m^7n^6-m^3n^2=m^3n^2(m^2+1)(m+1)(m-1)
n^3-2n^2-n+2=(n-2)(n+1)(n-1)

x^3-6x^2y+9xy^2=x(x-3)^2
ab^3+4a^2b^2+4ab^3=ab(a+2b)^2
4m^4n+12m^3n^2+9m^2n^3=m^2n(2m+3n)^2
x^5y^2-8x^4y^3+16x^3y^4=x^3y^2(x-4y)^2
m^2n-m^2-10mn+10m+25n-1=(n-1)(m-5)^2