Question

DESENVOLVA ALGEBRICAMENTE CADA QUADRADO DA SOMA E QUADRADO DA DIFERENÇA DE DOIS TERMOS:

a)(8a+9)²=
b)(3x²+1)²=
c)(4y+3)²=
d)(6x+11)²=
e)(x-12)²=
f)(7x-13)²=

Answer 1

Explicação passo-a-passo:

a) $(8a+9)^2=(8a)^2+2\cdot8a\cdot9+9^2$

$(8a+9)^2=64a^2+144a+81$

b) $(3x^2+1)^2=(3x^2)^2+2\cdot3x^2\cdot1+1^2$

$(3x^2+1)^2=9x^4+6x^2+1$

c) $(4y+3)^2=(4y)^2+2\cdot4y\cdot3+3^2$

$(4y+3)^2=16y^2+24y+9$

d) $(6x+11)^2=(6x)^2+2\cdot6x\cdot11+11^2$

$(6x+11)^2=36x^2+132x+121$

e) $(x-12)^2=x^2-2\cdot x\cdot12+12^2$

$(x-12)^2=x^2-24x+144$

f) $(7x-13)^2=(7x)^2-2\cdot7x\cdot13+13^2$

$(7x-13)^2=49x^2-182x+169$