Question

x的4次方+3x²y²+36y的4次方

分解因式

Answer 1

x的4次方+3x²y²+36y的4次方
=x的4次方+12x²y²+36y的4次方-9x²y²
=(x²+6y²)^2-(3xy)²
=(x²+6y²+3xy)(x²+6y²-3xy)

Answer 2

x^4+3x^2y^2+36y^4
=x^4+12x^2y^2+36y^4-9x^2y^2
=(x^2+6y^2)^2-9x^2y^2
=(x^2+6y^2-3xy)(x^2+6y^2+3xy)