Question

Simplify (3x-2)² + (3x+2)²

Answer 1

Step-by-step explanation:

(a-b)^2=a^2+b^2-2ab

(a+b)^2=a^2+b^2+2ab

(3x-2)² + (3x+2)²

9x^2+4-12x+9x^2+4+12x

18x^2+16

2(9x^2+4)

9x^2+4

Answer 2

$\huge\underline\mathbb{Solution}$

$= {(3x - 2) }^{2} + {(3x + 2)}^{2}$

$= {(3x)}^{2} + {2}^{2} - (2 \times 3x \times 2) + {(3x )}^{2} + {2}^{2} +( 2 \times 3x \times 2)$

$= {9x}^{2} + 4 - 12x + {9x}^{2} + 4 + 12x$

$= {18x}^{2} + 8$

$= {9x}^{2} + 4$