Question

chuyển đổi đa thức thành tích

a) 6x² - 3xy

b) 12xz - 5y

c) 64x² - 49

d) 25y²  - 16z²

e) 4 - 25y²

f) 25x² - 10x + 1

g) 16 - 8y + y²

h) 1 - 6x + 9x²

Answer 1

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

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

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

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

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

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

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

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