\(a,=\left(x+4\right)^2\\ b,=\left(x-6\right)^2\\ c,=-\left(4x^2-4x+1\right)=-\left(2x-1\right)^2\\ d,=\left(x-1\right)^3\)

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

(x-3).(9+x)

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

a: \(\left(x+y+z\right)^2-\left(y+z\right)^2\)

\(=\left(x+y+z-y-z\right)\left(x+y+z+y+z\right)\)

\(=x\left(x+2y+2z\right)\)

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

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

=36

c: \(\left(a^2-b^2\right)^2-\left(a+b^2\right)^2\)

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

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

\(=a\cdot\left(a+1\right)\left(a^2-a-2b^2\right)\)

Tích mình đi

Ai tích sẽ có lợi

vì khi có lợi bạn sẽ được người khác tích lại.

THANKS

\(\frac{9}{16}x^{2m-2}y^2-2x^my^m+\frac{16}{9}x^2y^{2m-2}\)

\(=\left(\frac{3}{4}x^{m-1}y-\frac{4}{3}xy^{m-1}\right)^2\)

p/s: chúc bạn học tốt

\(=\left(\frac{3}{4}.x^{m-1}y\right)^2-2x^my^m+\left(\frac{4}{3}x.y^{m-1}\right)^2\)

\(=\left(\frac{3}{4}x^{m-1}.y-\frac{4}{3}y^{m-1}.x\right)^2\)

Đề bài không chính xác, biểu thức này không viết được dưới dạnh tích

2:

-8x^6-12x^4y-6x^2y^2-y^3

=-(8x^6+12x^4y+6x^2y^2+y^3)

=-(2x^2+y)^3

3:

=(1/3)^2-(2x-y)^2

=(1/3-2x+y)(1/3+2x-y)

Ta có: \(81+\left(9-x^2\right)^2\)

Tương tự: \(81+-x^4+18x^2+-81\)

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

\(=-x^4+18x^2\)

\(81-\left(9-x^2\right)^2\)

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

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

\(=\)\(\left(9-9+x\right)\left(9+9-x\right)\)

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

Chúc bạn học tốt ~ 

81-(9-x^2)^2

=9^2-(3^2-x^2)^2

=9^2-(9- x^2)^2

=(9-9+x).(9+9-x)

​=x.(18-x)

a. \(9x^2+30x+25=\left(3x+5\right)^2\)

b. \(\dfrac{4}{9}x^4-16x^2=\left(\dfrac{2}{3}x^2-4x\right)\left(\dfrac{2}{3}x^2+4x\right)=x^2\left(\dfrac{2}{3}x-4\right)\left(\dfrac{2}{3}x+4\right)\)

c. \(a^2y^2+b^2x^2-2axby=\left(ay-bx\right)^2\)

d. \(100-\left(3x-y\right)^2=\left(10-3x+y\right)\left(10+3x-y\right)\)

e. \(\dfrac{12}{5}x^2y^2-9x^4-\dfrac{4}{25}y^4=-\left(9x^4-\dfrac{12}{5}x^2y^2+\dfrac{4}{25}y^4\right)=-\left(3x^2-\dfrac{2}{5}y^2\right)^2\)

f. \(64x^2-\left(8a+b\right)^2=\left(8x-8a-b\right)\left(8x+8a+b\right)\)

g. \(27x^3-a^3b^3=\left(3x-ab\right)\left(9x^2+3xab+a^2b^2\right)\)