Question

find the product 2x (3x -7xy)

Answer 1

Answer:

6x²-14x²y is the product

Answer 2

Step-by-step explanation:

Given: The expression $2x (3x -7xy)$

To Find: The product of the expression $2x (3x -7xy)$.

• To find the product of the given expression, we must multiply $2x$ separately with $3x\ and -7xy$.

       ⇒ $(2x\times3x) + (2x\times-7xy)$

       ⇒ $6x^{2} + (-14x^{2} y)$

       ⇒ $6x^{2} -14x^{2} y$

• The resulting product is a quadratic equation that is, a polynomial with highest degree as 2 which is in the form $ax^{2}+bx+c\ (a\neq 0)$.
• Here,  in the expression $6x^{2} -14x^{2} y$, when we take $x^{2}$ as common, then $6-14y$ is the coefficient of $x^{2}$.

Hence, the product of $2x (3x -7xy)$ is $6x^{2} -14x^{2} y$.