Question

simplify
$(2x + y)(1 + 4x + 3y) - 6x(x + y)$
​

Answer 1

Answer:

2x² + 3y² + 2x + y + 4xy

Step-by-step explanation:

(2x + y) (1 + 4x + 3y) - 6x(x + y)

= 2x(1 + 4x + 3y) + y(1 + 4x + 3y) - 6x² - 6xy

= 2x + 8x² + 6xy + y + 4xy + 3y² - 6x² - 6xy

= 6x² + 8x² + 3y² + 2x + y + 6xy - 6xy + 4xy

= 2x² + 3y² + 2x + y + 4xy

Points to keep in mind while solving such problems :

• Keep patience while solving. These questions need intense concentration.
• Group the like terms together for ease in calculations.
• Take special care of negative sign.

Thanks !

Answer 2

Answer:

(2x + y)(1 + 4x + 3y) - 6x(x + y)

= (2x + y + 8x² + 4xy + 6xy + 3y²) - 6x² - 6xy

= 2x + y + 8x² + 10xy + 3y² - 6x² - 6xy

= 2x² + 3y² + 4xy + 2x + y

Step-by-step explanation: