Question

TRINOMIO CUADRADO PERFECTO

ayuda por faa

Answer 1

Respuesta:

1. $x^{2} -14x+49$

$x^{2} -2(x)(7)+7^{2} \\(x-7)^{2}$

2. $36x^{2} -36x+9$

Factorizando 9:

$9(4x^{2} -4x+1)\\9((2x)^{2} -2(2x)(1)+1^{2} )\\9(2x-1)^{2}$

3. $81x^{2} -54x+9$

Factorizando 9:

$9(9x^{2} -6x+1)\\9((3x)^{2}-2(3x)(1)+1^{2})\\ 9(3x-1)^{2}$

4. $400+40y +y^{2}$

$20^{2} +2(20)(y)+y^{2} \\(20+y)^{2}$

5. $z^{2} +18z+81$

$z^{2} +2(z)(9)+9^{2} \\(z+9)^{2}$

6. $x^{2} -16x+64$

$x^{2} -2(x)(8)+8^{2} \\(x-8)^{2}$