Question

la expresión factorizada de la medida del segmento AD es:

A. ( x²+ x + 2 ) ( x²+ x + 2)
B.( x²+ x + 2 ) ( x²- x + 2)
C.( x²+ 3x + 4 ) ( x²- 3x + 4)
D.( x²+ 2x + 4 ) ( x²+ 2x + 4)

POR FAVOR AYUDA ​

Answer 1

Explicación paso a paso:

${x}^{4} + {x}^{2} + {x}^{2} + 3 + {x}^{2} + 1 \\ = {x}^{4} + 3 {x}(^{2} + 4 \\ = ( {x}^{4} + 3 {x}^{2} ) + 4 \\ ( {x}^{4} + 3 {x}^{2} + \frac{9}{4}) + 4 - \frac{9}{4} \\ ( { {x}^{2} + \frac{3}{2} ) }^{2} + \frac{16 - 9}{4} \\ ( { {x}^{2} + \frac{3}{2} })^{2} + \frac{7}{4}$