Question

Viết các biểu thức sau về dạng tích :

a. \(x^2+10x+25\)

b. \(x^2-12x+36\)

c. \(9x^2+4+12x\)

d. \(x^2+49-14x\)

e. \(9x^4+24x^{^{ }2}+16\)

g. \(4x^2-12xy+9y^2\)

Answer 1

a, \(x^2+10x+25=x^2+5x+5x+25\)

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

b, \(x^2-12x+36=x^2-6x-6x+36\)

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

c, \(9x^2+4+12x=9x^2+6x+6x+4\)

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

d, \(x^2+49-14x=x^2-7x-7x+49\)

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

e, \(9x^4+24x^2+16=9x^4+12x^2+12x^2+16\)

\(=3x^2\left(3x^2+4\right)+4\left(3x^2+4\right)=\left(3x^2+4\right)^2\)

g,\(4x^2-12xy+9y^2=4x^2-6xy-6xy+9y^2\)

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

Chúc bạn học tốt!!!