分解因式:(x+2)(x+4)+x^2-4 (x^2意思是x的2次方)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 07:38:08

分解因式:(x+2)(x+4)+x^2-4 (x^2意思是x的2次方)
分解因式:(x+2)(x+4)+x^2-4 (x^2意思是x的2次方)

分解因式:(x+2)(x+4)+x^2-4 (x^2意思是x的2次方)
(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+2)(x+1)
提示:运用提取公因式法

(x+2)(x+4)+x^2-4
=x^2+6x+8+x^2-4
=2x^2+6x+4
=2(x^2+3x+2)
=2(x+2)(x+1)

(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x^2-2^2)
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+1)(x+2).

=2(x^2+3x+2)
=2(x+1)(x+2)

(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+2)(x+1)

(x+2)(x+4)+x^2-4
=(x+2)(x+4)+(x+2)(x-2)
=(x+2)(x+4+x-2)
=(x+2)(2x+2)
=2(x+2)(x+1)

(x+2)(x+4)+x^2-4
=x^2+6x+8+x^2-4
=2x^2+6x+4
=2(x+2)(x+1)