1 phan tich da thuc thanh nhan tu
a) 4x^2 - 49
b) a^2 -2a -b^2 -2b
Phan tich da thuc thanh nhan tu
a(a+2b)^3-b(2a+b)^3
=a(a+2b)^3-[-b(a+2b)^3]
=(a+2b)^3(a+b)
phan tich da thuc:(a^2+b^2-c^2)^2-4a^2b^2 thanh nhan tu
\(\left(a^2+b^2-c^2\right)^2-4a^2b^2\)
\(=\left(a^2+b^2-c^2\right)^2-\left(2ab\right)^2\)
\(=\left[\left(a+b\right)^2-c^2\right]\left[\left(a-b\right)^2+c^2\right]\)
=(a+b+c)(a+b-c)(a-b+c)(a-b-c)
phan tich da thuc thanh nhan tu
4a^2b^2-(a^2+b^2-c^2)^2
Phan tich da thuc sau thanh nhan tu:
a) \(a\left(b+c\right)^2+b\left(c+a\right)^2+c\left(a+b\right)^2\)
b)\(a^4+b^4+c^4-2a^2b^2-2a^2c^2-2c^2b^2\)
4x^2-4x+1
phan tich da thuc thanh nhan tu chung
\(4x^2-4x+1\)\(=\) \((2x^2)-2.2x.1+1^2\)
\(=\left(2x-1\right)^2\)
Học tốt!
Phan tich da thuc thanh nhan tu x^2(1-x^2)-4-4x^2
phan tich da thuc thanh nhan tu: 4x^4-32x^2+1
4x^4 - 32x^2 +1 = 4x^4 + 4x^2 +1 - 36x^2 = (2x^2 + 1)^2 - 36x^2 = (2x^2 - 6x + 1)(2x^2 + 6x + 1)
4 x4 - 32 x2 + 1
= ( 2 x2 )2 - 2 . 2x2. 8 + 64 - 63
= ( 2 x2 - 8 )2 - 63
= ( 2x2 - 8 + √63 ) ( 2x2 - 8 - √63 )
Xong
phan tich da thuc thanh nhan tu : \(a^6+a^4+a^2b^2+b^4-b^6\)
\(a^6+a^4+a^2b^2+b^4-b^6\)
\(=(a^2)^3-(b^2)^3+(a^4+a^2b^2+b^4)\)
\(=(a^2-b^2)(a^4+a^2b^2+b^4)+(a^4+a^2b^2+b^4)\)
\(=(a^2-b^2+1)(a^4+a^2b^2+b^4)\)
\(=(a^4+2a^2b^2+b^4-a^2b^2)(a^2-b^2+1)\)
\(=(a^2+ab+b^2)(a^2-ab+b^2)(a^2-b^2+1)\)
\(a^6+a^2b^2+a^4+b^2-b^6\)
\(=a^4\left(a^2+b^2\right)+a^2\left(a^2+b^2\right)-b^6\)
\(=\left(a^2+b^2\right)+\left(a^4+a^2\right)-b^6\)
phan tich da thuc thanh nhan tu
x^2(1-x^2)-4-4x^2