单项式因式分解

• $8x^5=(2x^2)(4x^3)$8, x, start superscript, 5, end superscript, equals, left parenthesis, 2, x, squared, right parenthesis, left parenthesis, 4, x, cubed, right parenthesis
• $8x^5=(8x)(x^4)$8, x, start superscript, 5, end superscript, equals, left parenthesis, 8, x, right parenthesis, left parenthesis, x, start superscript, 4, end superscript, right parenthesis
• $8x^5=(2x)(2x)(2x)(x^2)$8, x, start superscript, 5, end superscript, equals, left parenthesis, 2, x, right parenthesis, left parenthesis, 2, x, right parenthesis, left parenthesis, 2, x, right parenthesis, left parenthesis, x, squared, right parenthesis

$10x^3=2\cdot 5\cdot x\cdot x\cdot x$10, x, cubed, equals, 2, dot, 5, dot, x, dot, x, dot, x

$\begin{aligned}8x^5&=(4x^3)(C)\\ \\ \dfrac{8x^5}{4x^3}&=\dfrac{(4x^3)(C)}{4x^3}&&\small{\gray{\text{两边都除以 }4x^3}}\\ \\\\\\ 2x^2&=C&&\small{\gray{\text{利用指数的性质简化}}} \end{aligned}$

$\begin{aligned}(\purpleC{4}\tealD {x^3})(\purpleC{2}\tealD{x^2})&=\purpleC 4\cdot \purpleC{2}\cdot \tealD {x^3}\cdot \tealD{x^2}\\ \\ &=\purpleC{8}\tealD{x^5} \end{aligned}$

• $12=2\cdot 6$12, equals, 2, dot, 6
• $12=3\cdot 4$12, equals, 3, dot, 4
• $12=12\cdot 1$12, equals, 12, dot, 1
• $12=2\cdot 2\cdot 3$12, equals, 2, dot, 2, dot, 3

• $18x^3=2\cdot 9\cdot x^3$18, x, cubed, equals, 2, dot, 9, dot, x, cubed
• $18x^3=3\cdot 6\cdot x\cdot x^2$18, x, cubed, equals, 3, dot, 6, dot, x, dot, x, squared
• $18x^3=2\cdot 3\cdot 3\cdot x^3$18, x, cubed, equals, 2, dot, 3, dot, 3, dot, x, cubed