3 3 3 3 3 3 3 3 3 3 3 3 3 

a) \(36-12x+x^2\) \(=6^2-2.6.x+x^2\)

\(=\left(6-x\right)^2\)

b) \(4x^2+12x+9=\left(2x\right)^2+2.2x.3+3^2\)

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

c) \(-25x^6-y^8+10x^3y^4=-\left[25x^6-10x^3y^4+y^8\right]\)

\(=-\left[\left(5x^3\right)^2-2.5x^3.y^4+\left(y^4\right)^2\right]\)

\(=-\left(5x^3-y^4\right)^2\)

d) \(\dfrac{1}{4}x^2-5xy+25y^2=\left(\dfrac{1}{2}x\right)^2-2.\dfrac{1}{2}x.5y+\left(5y\right)^2\)

\(=\left(\dfrac{1}{2}x-5y\right)^2\)

Học tốt~~~

a. \(36-12x+x^2=6^2-2.6.x+x^2=\left(6-x\right)^2\)

b. \(4x^2+12x+9=\left(2x\right)^2+2.2x.3+3^2=\left(2x+3\right)^2\)

c: \(=-\left(25x^6-10x^3y^4+y^8\right)\)

\(=-\left(5x^3-y^4\right)^2\)

d: \(=\left(\dfrac{1}{2}x\right)^2-2\cdot\dfrac{1}{2}x\cdot5y+\left(5y\right)^2=\left(\dfrac{1}{2}x-5y\right)^2\)

M= x(12z - 5y)

\(M=12xz-5xy=x\left(12z-5y\right)\)

\(N=64^2-49=64^2-7^2=\left(64-7\right)\left(64+7\right)\)

\(P=25y^2-16z^2=\left(5y\right)^2-\left(4z\right)^2=\left(5y-4z\right)\left(5y+4z\right)\)

\(Q=4-25y^2=2^2-\left(5y\right)^2=\left(2-5y\right)\left(2+5y\right)\)

\(R=25x^2-10x+1=\left(5x-1\right)^2\)

\(O=16-8y+y^2=\left(4-y\right)^2\)

\(X=1-6x+9x^2=\left(1-3x\right)^2\)

\(a,6x^2-3xy=3x\left(2x-y\right)\)

\(b,12xz-5y=y\left(12x-5\right)\)

\(c,64x^2-49=\left(8x\right)^2-7^2=\left(8x-7\right)\left(8x+7\right)\)

\(d,25y^2-16z^2=\left(5y\right)^2-\left(4z\right)^2=\left(5y-4z\right)\left(5y+4z\right)\)

\(e,4-25y^2=2^2-\left(5y\right)^2=\left(2-5y\right)\left(2+5y\right)\)

\(f,25x^2-10x+1=\left(5x\right)^2-5x\cdot2\cdot1+1=\left(5x-1\right)^2\)

\(g,16-8y+y^2=4^2-4\cdot2\cdot y+y^2=\left(4-y\right)^2\)

\(h,1-6x+9x^2=1^2-6\cdot2\cdot x+\left(3x\right)^2=\left(1-3x\right)^2\)

Phân tích đa thức thành nhân tử

c: \(x^2-4x^2y^2+y^2+2xy\)

\(=\left(x+y\right)^2-\left(2xy\right)^2\)

\(=\left(x+y+2xy\right)\left(x+y-2xy\right)\)

d: \(7x^2-14xy^2+7y^4\)

\(=7\left(x^2-2xy^2+y^4\right)\)

\(=7\left(x-y^2\right)^2\)

\(a,4x^2+28x+49=\left(2x\right)^2+2.2x.7+7^2=\left(2x+7\right)^2\\ b,16y^2-8y+1=\left(4y\right)^2-2.4y.1+1^2=\left(4y-1\right)^2=\left(1-4y\right)^2\\ 4a^2+20ab+25b^2=\left(2a\right)^2+2.2a.5b+\left(5b\right)^2=\left(2a+5b\right)^2\\ d,9x^2-6xy+y^2=\left(3x\right)^2-2.3x.y+y^2=\left(3x-y\right)^2=\left(y-3x\right)^2\)