Question

State whether True or False.

Divide: $12x^2+7xy-12y^2$ by $3x+4y$, then the answer is $x^4+2x^2+4$.

• A. True
• B. False

Answer 1

The correct option is B False

Lets factorize the polynomial $12x^2+7xy-12y^2$

$12x^2+7xy-12y^2,=12x^2+16xy-9xy-12y=(3x+4y)(4x-3y)$

$\therefore 12x^2+7xy-12y^2=(3x+4y)(4x-3y)$---(1)

Now,

$\frac{12x^2+7xy-12y^2}{3x+4y}$

$=\frac{(3x+4y)(4x-3y)}{3x+4y}$

$=4x-3y$

Hence, the given statement is false.