Question

几道因式分解 求高手帮忙

1。 0.25-16x^ 4
2.（x^ 2-3)^ 2-12(x^ 2-3)+36

大家帮帮忙 写下过程

Answer 1

1。 0.25-16x^ 4
=0.5^2-(4x^2)^2
=(0.25+4x^2)(0.25-4x^2)
=(0.25+4x^2)(0.5+2x)(0.5-2x)

2.（x^ 2-3)^ 2-12(x^ 2-3)+36
=(x^ 2-3-6)^2
=(x-9)^2
=(x+3)^2(x-3)^2

Answer 2

1。 0.25-16x^ 4
=（0.5）^2-(4x²)²
=(0.5+4x²)(0.5-4x²)
=1/4(0.5+4x²)（2-x²)
=1/4(0.5+4x²)(√2+x)(√2-x)
2.（x^ 2-3)^ 2-12(x^ 2-3)+36
=.（x^ 2-3)^ 2-2*6(x^ 2-3)+6²
=（x²-3-6)²
=(x²-9)²
=(x+3)²(x-3)²