Question

Me pueden ayudar con esto
a-(x+1)(x+6) b-(x+5)(x+7) c-(m-8)(m+5) d-(m-9)(m-7) e-(a+6)(a-12) f-(2x+3y)(4x-5y) g-(xm+3+ym-2)(xm+3+ym-2) h-(xm+yn)(xm+yn) i-(m2+6)(m2-9)

Answer 1

a
(x+1)(x+6) = x*x + 6x + 1x + 1*6 = x² + 6x + 1x + 6 = x²+7x+6

b
(x+5)(x+7) = x*x + 7x + 5x +7*5 = x² + 7x + 5x + 35 = x²+12x+35

c
(m-8)(m+5) = m*m + 5m -8m -8*5 = m² -3m -40

d
(m-9)(m-7) = m*m -7m - 9m + (-9*-7) = m² - 16m + 63

e
(a+6)(a-12) = a*a -12a + 6a -12*6 = a² - 6a - 72

f
(2x+3y)(4x-5y) =2x*4x -5y*2x +3y*4x - 5y*3y = 8x² -10xy + 12xy -15y²
=8x² +2xy - 15y²

g
(xm+3+ym-2)(xm+3+ym-2) = (xm+ym+1)(xm+ym+1) = (xm+ym+1)²
=xm*xm + xm*ym + 1*xm + ym*xm + ym*ym + 1*ym + 1*xm + 1*ym + 1*1
=x²m² +xym² + xm + xym² + y²m² +ym + xm + ym + 1
=x²m² + 2xym² + 2xm + 2ym + y²m² + 1

h
(xm+yn)(xm+yn) = (xm+yn)² = binomio al cuadrado = x²m² + 2xmyn + y²n²

i
(m²+6)(m²-9) = m²*m² -9m² + 6m² -9*6 = m⁴ -3m² -54