Viết các đa thức sau ra tích hoặc lũy thừa :
1) x^2-16
2) 4a^201
3) x^2-3
4)25-9y^2
5) (a+1)2-16
6) x^2 - (2+y)2
7) (a+b)2-(a-b)2
8 ) a^2 + 2ax + x^2
9) x^2 - 4x + 4
10) x^2-6xy+9y^2
11) x^3+8
12) a^3 + 27b^3
13) 27x^3 - 1
14) 1/8 - b^3
15) a^3 - (a+b)3
16) 4x^2 + 4x + 1
17) (x+y)2-2(x+y)+1
18) (2x+3y)2 + 2 ( 2x + 3y) + 1
Ai nhanh nhất mk sẽ tik cho nha , cám ơn trước !!
1) \(x^2-16=\left(x-4\right)\left(x+4\right)\)
2)\(4a^{201}\)
3)\(x^2-3=\left(x-\sqrt{3}\right)\left(x+\sqrt{3}\right)\)
4)\(25-9y^2=\left(5-3y\right)\left(5+3y\right)\)
5)\(\left(a+1\right)^2-16=\left(a+1-16\right)\left(a+1+16\right)=\left(a-15\right)\left(a+17\right)\)
6)\(x^2-\left(2+y\right)^2=\left(x-2-y\right)\left(x+2+y\right)\)
7) (a+b)2-(a-b)2
= \(\left(a^2+2ab+b^2\right)-\left(a^2-2ab+b^2\right)=4ab\)
8 ) a^2 + 2ax + x^2
= ( a + x )2
9) x^2 - 4x + 4
= ( x-2)2
10) x^2-6xy+9y^2
= (x - 3y )2
11) x^3+8
= (x+2)( x2 - 2x + 4 )
12) a^3 + 27b^3
= (a + 3b ) ( a2 - 3ab + 9b2 )
13) 27x^3 - 1
= ( 3x -1 ) ( 9x2 + 3x +1)
14) 1/8 - b^3
= ( 1/2 - b ) ( 1/4 + 1/2b + b2)
15) a^3 - (a+b)3
= a3 - ( a3 + 3a2b + 3ab2 + b3)
= - 3a2b - 3ab2- b3= -b (3a2 + 3ab +b2)
16) 4x^2 + 4x + 1
= (2x +1 )2