Question

simplify (2x+3) (5x-4) + (4x-2) (3x-2)​

Answer 1

Step-by-step explanation:

22x^ 2-6x-8 is the answer

and hope this may be use full for u

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

$= > (2x + 3)(5x - 4) + (4x - 2)(3x - 2)$

$= > 2x(5x - 4) + 3(5x - 4) + (4x - 2)(3x - 2)$

$= > 10 {x}^{2} - 8x + 15x - 12 + 4x(3x - 2) - 2(3x - 2)$

$= > 10 {x}^{2} + 7x - 12 + 12 {x}^{2} - 8x - 6x + 4$

$\bold{ = > 22 {x}^{2} - 7x - 8 = 0}$

Now,it is in the form of a quadratic equation we will use quadratic formula to find out the equation:-

$x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

a=22,b=-7 and c=-8

$x = \dfrac{ - ( - 7)\pm \sqrt{ {( - 7)}^{2} - 4(22)( - 8) } }{2 \times 22}$

$x = \dfrac{7\pm \sqrt{49 + 704} }{44} = \dfrac{7\pm \sqrt{753} }{44}$