Question

3x² - 5xy - 12y² help me with this sum​

Answer 1

Correct Question :

➡ Factorise :

$3x^2 -5xy - 12y^2$

Step - by - Step Explanation :

➡ First of all write the given equation in a series.

= $3x^2 - 5xy - 12y^2$

➡ Now, Find the factor of 3 and 12, after arranging the factors, find two numbers such that their subtraction gives 5 and multiplication gives 36 ( 12 × 3 )

➡ Arrange it.

= $3x^2 - ( 9 - 4 ) xy - 12y^2$

= $3x^2 - 9xy + 4xy - 12y^2$

➡ By taking common terms

= $3x ( x - 3y ) + 4y ( x - 3y )$

= $( 3x + 4y ) ( x - 3y )$

Answer : ( 3x + 4y ) ( x - 3y )