Question

what are all expressions that are equivalent to (2n+6)(n+3)?

Answer 1

Answer:

Step-by-step explanation:

(2n + 6)(n + 3) =

2(n + 3)(n + 3) =

2(n + 3)² =

2(n² + 6n + 9) =

2n² + 12n + 18

Answer 2

Expression equivalent to $(2n+6)(n+3)$ is $2n^{2}+12n+18=0$

Definition:

Factoring quadratics is a method of expressing the quadratic equation $ax^{2} +bx+c=0$  as a product of its linear factors as $(x-k)(x-h)$ ,where h and k are the roots of the quadratic equation $ax^{2} +bx+c=0$.This method is also called the method of factorization of quadratic equations.

Step-by-step explanation:

• As per the definition ,the factors of $ax^{2} +bx+c=0$ are $(x-k)(x-h)$
• Similarly ,if we expand the factors $(2n+6)(n+3)$,we get the expression equivalent to the factors as follow,$(2n+6)(n+3)=0\\2n(n+3)+6(n+3)=0\\2n^{2} +6n+6n+18=0\\2n^{2}+12n+18=0$

Therefore,the expression equivalent to $(2n+6)(n+3)$ is $2n^{2}+12n+18=0$