Question

9x + 4y + 162 + 12xy + 16yz + 24zx =
a) (3x + 4y + 2z) b) (3x + 2y + 4z)
c) (2x + 3y + 4z)
d) (3x-2y - 25
fins​

Answer 1

Answer:

A) (3x + 4y + 2z) b) (3x + 2y + 4z)

Step-by-step explanation:

(3x + 4y + 2z) b) (3x + 2y + 4z)

Answer 2

Answer: 3x + 2y + 4z

Step-by-step explanation:

9x + 4y + 162 + 12xy + 16yz + 24zx =

${(3x)}^{2} + {(2y)}^{2} + {(4z)}^{2} + 2 \times 3x \times 2y + 3 \times 2y \times 4z + 3 \times 4z \times 3x$

$= {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca = {(a + b + c)}^{2}$

$= {(3x + 2y + 4z)}^{2}$