Question

Calcule os produtos notáveis:

a. (8-4m²)²

b. (20x-y)²

c. (x2-1,5)²

d. (10-XY)²

e. (p⁴-7)²

Me ajudem, please

Answer 1

$\boxed{(a-b)^2=a^2-2ab+b^2}$

a)
$(8-4m^2)^2=\\8^2-2\cdot8\cdot4m^2+(4m^2)^2=\\64-64m^2+4m^4$

b)
$(20x-y)^2=\\(20x)^2-2\cdot20x\cdot y+y^2=\\400x^2-40xy+y^2$

c)
$(x2-1,5)^2=\\(2x)^2-2\cdot2x\cdot1,5+1,5^2=\\4x^2-6x+2,25$

d)
$(10-xy)^2=\\10^2-2\cdot10\cdot xy+(xy)^2=\\100-20xy+x^2y^2$

e)
$(p^4-7)^2=\\(p^4)^2-2\cdot p^4\cdot 7+7^2=\\p^8-14p^4+49$