Question

150 - 6x square factorise

Answer 1

hєчα

hєrє íѕ thє αnѕwєr

gívєn :-

150 - 6х²

=> (5√6)² - (√6х)²

uѕíng ídєntítч

α² - в² = (α + в)(α - в)

hєrє, α = 5√6 αnd в = √6х

=> (5√6 - √6х)(5√6 + √6х)

hσpє thíѕ hєlpѕ.

Answer 2

Hi ďêãř friend...
Here is YOUR ANSWER

______✴️SOLUTION✴️_______


6x2-150 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(2•3x2) - 150

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   6x2 - 150  =   6 • (x2 - 25) 

Trying to factor as a Difference of Squares :

 3.2      Factoring:  x2 - 25 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 - AB + AB - B2 = 
         A2 - B2

Note :  AB = BA is the commutative property of multiplication. 

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5
Check :  x2  is the square of  x1 

Factorization is :       (x + 5)  •  (x - 5) 

Final result :

6 • (x + 5) • (x - 5)

I hope it will help you
☺️✌️