\(A=b^4-9a^2-4b^2+4=b^4-4b^2+4-9a^2\)

\(=\left(b^2-2\right)^2-9a^2\)

\(=\left(b^2-2+3a\right)\left(b^2-2-3a\right)\)

\(A=b^4-9a^2-4b^2+4\)

\(A=\left(b^2\right)^2-2.2.b^2+2^2-9a^2\)

\(A=\left(b^2-2\right)^2-\left(3a\right)^2\)

\(A=\left(b^2-2-3a\right)\left(b^2-2+3a\right)\)

_Hắc phong_

\(Â=b^4-9a^2-4b^2+4\)

     \(=b^4-4b^2+4-\left(3a\right)^2\)

     \(=\left(b^2-2\right)^2-\left(3a\right)^2=\left(b-2+3a\right)\left(b-2-3a\right)\) 

\(\frac{4}{9a^4}-\frac{2}{4^5}\)như zạy à

đúng a²-b²

\(7a^2-7ax-9a+9x=\left(7a^2-7ax\right)-\left(9a-9x\right)=7a\left(a-x\right)-9\left(a-x\right)=\left(a-x\right)\left(7a-9\right)\)

7a(a-x)-9(a-x)

(7a-9)(a-x)

\(7a^2-7ax-9a+9x=7a\left(a-x\right)-9\left(a-x\right)=\left(7a-9\right)\left(a-x\right)\)

=a⁴-81-(9a³-81a)

=(a²-9)(a²+9) -9a(a²-9)

=(a²-9)(a²-9a+9)

ĐẾN ĐÂY MÌNH CHỊU ,BẠN GIẢI TIẾP NHA

bằng (3a-b)^2-1 

bằng (3a-b+1)(3a-b+1)

\(A=9a^2-6ab+b^2-1\)

\(A=\left(3a-b\right)^2-1\)

\(A=\left(3a-b-1\right)\left(3a-b+1\right)\)

P/s haphuong

\(a^2-9a^3+81a-81\)

Phân tích đa thức thành nhân tử:

\(-\left(9a^3-a^2-81a+81\right)\)

\(-16a^4b^6-24a^5b^5-9a^6b^4\)

\(=-a^4b^4.\left(16b^2+24ab+9a^2\right)\)

\(=-a^4b^4.\left(4b+3a\right)^2\)

\(-16a^4b^6-24a^5b^5-9a^6b^4\)

\(=-a^4b^4\left(9a^2+24ab+16b^2\right)\)

\(=-a^4b^4\left[\left(3a\right)^2+2.3a.4b+\left(4b\right)^2\right]\)

\(=-a^4b^4\left(3a+4b\right)^2\)

Ta có : \(\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)-24\)

\(=\left(\left(x+1\right)\left(x+4\right)\right)\left(\left(x+2\right)\left(x+3\right)\right)-24\)

\(=\left(x^2+5x+4\right)\left(x^2+5x+6\right)-24\)

- Đặt \(x^2+5x+5=a\)

\(=\left(a-1\right)\left(a+1\right)-24=a^2-1-24=a^2-25\)

\(=\left(a-5\right)\left(a+5\right)\)

Ta có: \(\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)-24\)

\(=\left(x^2+5x+4\right)\left(x^2+5x+6\right)-24\)

\(=\left(x^2+5x\right)^2+10\left(x^2+5x\right)+24-24\)

\(=\left(x^2+5x\right)^2+10\left(x^2+5x\right)\)

\(=\left(x^2+5x\right)\left(x^2+5x+10\right)\)

\(=x\left(x+5\right)\left(x^2+5x+10\right)\)

\(=\left[\left(x+2\right)\left(x+5\right)\right]\left[\left(x+3\right)\left(x+4\right)\right]-24\\ =\left(x^2+7x+10\right)\left(x^2+7x+12\right)-24\\ =\left(x^2+7x+11\right)^2-1-24\\ =\left(x^2+7x+11\right)^2-25\\ =\left(x^2+7x+11-5\right)\left(x^2+7x+11+5\right)\\ =\left(x^2+7x+6\right)\left(x^2+7x+16\right)\\ =\left(x+1\right)\left(x+6\right)\left(x^2+7x+16\right)\)

\(\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24\)

\(=\left(x^2+7x+10\right)\left(x^2+7x+12\right)-24\)

\(=\left(x^2+7x+10\right)^2+2\left(x^2+7x+10\right)+1-25\)

\(=\left(x^2+7x+11\right)^2-25=\left(x^2+7x+11+5\right)\left(x^2+7x+11-5\right)\)

\(=\left(x^2+7x+16\right)\left(x^2+7x+6\right)=\left(x^2+7x+16\right)\left(x+1\right)\left(x+6\right)\)

=[(x+2)(x+5)][(x+3)(x+4)]−24=(x2+7x+10)(x2+7x+12)−24=(x2+7x+11)2−1−24=(x2+7x+11)2−25=(x2+7x+11−5)(x2+7x+11+5)=(x2+7x+6)(x2+7x+16)=(x+1)(x+6)(x2+7x+16)