Question

resuelve las siguientes identidades notables.
a) (x² + 3x)²=
b) (2x² – 5x)²=
c) (x² – 5).(x² + 5)=
d) (x²-2/5x)²=​

Answer 1

Respuesta:

$a) (x² + 3x)²= {( {x}^{2}) }^{2} + 2( {x}^{2} )(3x) + {(3x)}^{2} = {x}^{4} + 6 {x}^{3} + 9 {x}^{2} \\ b) (2x² – 5x)²= {( {2x}^{2}) }^{2} - 2( {2x}^{2} )(5x) + {(5x)}^{2} = {4x}^{4} + 20 {x}^{3} + 25 {x}^{2} \\ c) (x² – 5).(x² + 5)= {x}^{4} - 25\\ d) (x²-2/5x)²= {( {x}^{2}) }^{2} - 2( {x}^{2} )( \frac{2}{5} x) + {( \frac{2}{5} x)}^{2} = {x}^{4} - \frac{4}{5} {x}^{3} + \frac{4}{25} {x}^{2}$