Question

(4х-3)^2+(3х-7)^2(5х+1)^2+5^2+4х-123

Answer 1

16х²-24х+9+9х²-42х+49≤25х²+10х+1+4х-123
25х²-25х²-66х-14х≤122-58
-80х≤-180
х≥180/80
х≥9/4 

Answer 2

To simplify the given expression, let's first expand each square term and then combine like terms:

(4x - 3)^2 = (4x - 3)(4x - 3) = 16x^2 - 24x + 9 (3x - 7)^2 = (3x - 7)(3x - 7) = 9x^2 - 42x + 49 (5x + 1)^2 = (5x + 1)(5x + 1) = 25x^2 + 10x + 1

Now, let's rewrite the expression with the expanded forms:

(4x - 3)^2 + (3x - 7)^2 + (5x + 1)^2 + 5^2 + 4x - 123 = (16x^2 - 24x + 9) + (9x^2 - 42x + 49) + (25x^2 + 10x + 1) + 25 + 4x - 123

Next, let's combine the like terms by adding the coefficients of x^2, x, and the constants:

= 16x^2 - 24x + 9 + 9x^2 - 42x + 49 + 25x^2 + 10x + 1 + 25 + 4x - 123

Now, group the like terms together:

= (16x^2 + 9x^2 + 25x^2) + (-24x - 42x + 10x + 4x) + (9 + 49 + 1 + 25 - 123)

Combine the terms within the parentheses:

= 50x^2 - 52x - 38

So, the simplified form of the expression is:

50x^2 - 52x - 38