Rexie4123viz
Answered

      Solve this : (3x+2y+2)²
(you can use the FOIL method or the patterns)

Sagot :

Collinsdax4123viz
     (3x+2y+2)²
for FOIL = (3x)² +(2y)² +(2)² +2(3x)(2y)+2(3x)(2)+2(2y)(2)

the answer is: 9x² +4y+4+12xy+12x+8y

for pattern method :
Square the first term = 9x²
Square the second term = 4y
Square the third term = 4
Multiply the 1st and the 2nd term = `12xy
Multiply the 1st and 3rd term = 12x
Multiply the 2nd and 3rd tem = 8y

as you can see the answer will be the same :
9x² + 4y²+ 4 + 12xy + 12x + 8y
:)))

Riza1viz
[tex](3x+2y+2)^2 =\\\\=(3x)^2+(2y)^2+2^2+2\cdot3x \cdot2y+2\cdot 3x \cdot 2 + 2\cdot 2y \cdot 2 =\\\\=9x ^2+4y ^2+4+12 x y+12 x + 8y \\\\\\\\(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc[/tex]