Aplicar la propiedad distributiva: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
(x + 5) (x + 4) = x · x + x · 4 + 5x + 5 · 4
= x · x + x · 4 + 5x + 5 · 4
= x² + 9x + 20
(n - 19) (n + 10) = n·n + n · 10 - 19n - 19 · 10
= n² - 9n - 190
[tex]=x^2x^2+x^2\left(-7\right)-1\cdot \:x^2-1\cdot \left(-7\right)[/tex]
= [tex]x^4-8x^2+7[/tex]
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( x + 5 ) ( x + 4 )
Aplicar la propiedad distributiva: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
(x + 5) (x + 4) = x · x + x · 4 + 5x + 5 · 4
= x · x + x · 4 + 5x + 5 · 4
= x² + 9x + 20
.............................................................................
( n - 19 ) ( n + 10 )
Aplicar la propiedad distributiva: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
(n - 19) (n + 10) = n·n + n · 10 - 19n - 19 · 10
= n² - 9n - 190
.............................................................................
( x² - 1 ) ( x² - 7 )
Aplicar la propiedad distributiva: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=x^2x^2+x^2\left(-7\right)-1\cdot \:x^2-1\cdot \left(-7\right)[/tex]
= [tex]x^4-8x^2+7[/tex]