\(\left(x^2-9\right)^2-\left(x+3\right)\left(x-3\right)\left(x^2+9\right)=\left(x-3\right)^2\left(x+3\right)^2-\left(x+3\right)\left(x-3\right)\left(x^2+9\right)\)

\(=\left(x-3\right)\left(x+3\right)\left[\left(x-3\right)\left(x+3\right)-x^2+9\right]=\left(x-3\right)\left(x+3\right)\left[x^2-9-x^2-9\right]=\left(x-3\right)\left(x+3\right)\cdot\left(-18\right)\)

\(=-18\left(x+3\right)\left(x-3\right)\)

cau hoi nay de lam ma

\(\frac{4}{x-3}+\frac{5}{x+3}-\frac{13-9x^2}{x^2-9}\)

ĐKXĐ : \(x\ne\pm3\)

\(=\frac{4}{x-3}+\frac{5}{x+3}-\frac{13-9x^2}{\left(x+3\right)\left(x-3\right)}\)

\(=\frac{4\left(x+3\right)}{\left(x+3\right)\left(x-3\right)}+\frac{5\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}-\frac{13-9x^2}{\left(x+3\right)\left(x-3\right)}\)

\(=\frac{4x+12}{\left(x+3\right)\left(x-3\right)}+\frac{5x-15}{\left(x+3\right)\left(x-3\right)}-\frac{13-9x^2}{\left(x+3\right)\left(x-3\right)}\)

\(=\frac{4x+12+5x-15-13+9x^2}{\left(x+3\right)\left(x-3\right)}\)

\(=\frac{9x^2+9x-16}{\left(x+3\right)\left(x-3\right)}=\frac{9x^2+9x-16}{x^2-9}\)

nhung cau hoi rat de ma cau nay a , khong hieu sao dap an la nhung cay cau co so 0 0 0 0 0 0

\(\frac{6}{x^2-9}+\frac{5x}{x-3}+\frac{x}{x+3}\)

\(=\frac{6x}{\left(x-3\right)\left(x+3\right)}+\frac{5x}{x-3}+\frac{x}{x+3}\)

\(=\frac{6x}{\left(x-3\right)\left(x+3\right)}-\frac{5x\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{x\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}\)

\(=\frac{6x+5x\left(x+3\right)+x\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}\)

\(=\frac{6x\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\frac{6x}{x-3}\)

\(\frac{6x}{x^2-9}+\frac{5x}{x-3}+\frac{x}{x+3}\left(x\ne\pm3\right)\)

\(=\frac{6x}{\left(x-3\right)\left(x+3\right)}+\frac{5x\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}+\frac{x\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}\)

\(=\frac{6x+5x^2+15x+x^2-3x}{\left(x-3\right)\left(x+3\right)}\)

\(=\frac{6x^2+18x}{\left(x-3\right)\left(x+3\right)}=\frac{6x\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\frac{6x}{x-3}\)

\(=\dfrac{-x^2-2x+3+x^2+x}{\left(x-3\right)\left(x+3\right)}=\dfrac{-x+3}{\left(x-3\right)\left(x+3\right)}=\dfrac{-1}{x+3}\)

Đáp số là 1442/1287 nhé

=\(\dfrac{1442}{1287}\)

=

\(\left(x^2-9\right)^2-\left(x+3\right)\left(x-3\right)\left(x^2+9\right)=x^4-18x^2+81-\left(x^2-9\right)\left(x^2+9\right)=x^4-18x^2+81-\left(x^4-81\right)=x^4-18x^2+81-x^4+81=-18x^2+162=-18\left(x^2-9\right)=-18\left(x-3\right)\left(x+3\right)\)

\(=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}=0\)

\(\dfrac{x+3}{x}-\dfrac{x}{x-3}+\dfrac{9}{x^2-3x}=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}=\dfrac{0}{x\left(x-3\right)}=0\)

a) Rút gọn thu được kết quả: 3;

b) Ta có MC = 3x (x - 3)

Thực hiện tính toán thu được kết quả: x 2 − 6 x + 9 3 x ( x − 3 ) = x − 3 3 x  

c) Trước tiên biến đổi: 3 + 3 x = 3 ( x + 1 ) x ; 3 3 ( x + 1 ) x = x x + 1  

Thay vào A và thu gọn ta được A = 4 x + 3 x