Question

(2x^2 + 5x) (2x^2 + 5x - 19) +84 Simplify it

Answer 1

Answer:

Answer

(2x 2 +5x)(2x² +5x−19)+84

Let us assume,2x² +5x=p

So, (p)(p−19)+84

p² −19p+84

p² −12p−7p+84

p(p−12)−7(p−12)

(p−12)(p−7)

Now, subtitute the value of p we get,

(2x² +5x−12)(2x² +5x−7)

Answer 2

Step-by-step explanation:

SOLUTION

Let 2x² + 5x = P

=> (2x² + 5x) (2x² + 5x - 19) +84

=> (P) (P - 19) + 84

=> P² - 19P + 84

=> P² - 12P - 7P + 84

=> P(P - 12) -7(P - 12)

=> (P - 12) (P - 7)

=> (2x² + 5x - 12) (2x² + 5x - 7)

=> (2x² + 8x - 3x - 12) ( 2x² +7x -2x -7)

=> {2x (x + 4) -3(x + 4)} {x (2x + 7) -1(2x + 7)}

=> (x + 4) (2x - 3) (2x + 7) (x - 1)