Question

Alguien que me ayude con esto!
Binomios Conjugados!

a) (7-x)² + (9+x)³

b) (5+x)³ + (3+x) (3-x)

c) (8+x)² - (3-x)²

d) (-6+2x)²

e) (x+3) (x-3)

f) (x-9) (x+9) - (2x+3)²

Answer 1

-----------------------------------(a)------------------------------------------------
$(7-x)^{2} + (9+x)^{3}$
$(49-14x+ x^{2} )+(729+243x+27 x^{2} + x^{3} )$
$778+229x+28 x^{2} + x^{3}$
$x^{3} +28 x^{2} +229x+778$


-------------------------(b)-----------------------------------------
$(5+x)^{2} +(3+x)(3-x)$
$(125+75x+15 x^{2} + x^{3} )+(9- x^{2} )$
$125+75x+15 x^{2} + x^{3} +9- x^{2}$
$134+75x+14 x^{2} + x^{3}$
$x^{3} +14 x^{2} +75x+134$


-------------------------(c)------------------------------
$(8+x)^{2} - (3-x)^{2}$
$(64+16x+ x^{2} )-(9-6x+ x^{2} )$
$64+16x+ x^{2} -9+6x- x^{2}$
$55+22x$
$22x+55$


----------------------(d)----------------------------
$(-6+2x)^{2}$
$(-6)^{2} +2(-6)(2x)+ (2x)^{2}$
$36-24x+4 x^{2}$
$4 x^{2} -24x+36$


---------------------------------(e)--------------------------
$(x+3)(x-3)= x^{2} - 3^{2} = x^{2} -9$


----------------------------(f)---------------------------------------
$(x-9)(x+9)- (2x+3)^{2}$
$( x^{2} -81)-(4 x^{2} +12x+9)$
$x^{2} -81-4 x^{2} -12x-9$
$-3 x^{2} -12x-90$

...Saludos...