Question: (3x-2)² + (2x-4)² = 3
Answer:
When squaring things, we are just multiplying it by itself (a² = a x a). When squaring brackets, it’s the same rule:
Therefore:
(3x-2)² = (3x-2)(3x-2)
(2x-4)² = (2x-4)(2x-4)
And using this skill we get:
(3x-2)(3x-2) + (2x-4)(2x-4) = 3
Using FOIL:
9x²-6x-6x+4 + 4x²-8x-8x+16 = 3
Simplify:
13x²-28x+20 = 3
Take -20 off from both sides:
13x²-28x = -17
There’s your answer!
I hope this made sense, if you have any questions or you think I made a mistake somewhere please let me know!
:)