Question

Which expression is equivalent to x ^ 2 + 7x + 6 ? pls show work

Answer 1

>> Answer

_________

$\:$

x² + 7x + 6 = ?

= (x + 1)(x + 6)

• 1 + 6 = 7 $\to$ 7x
• 1 × 6 = 6

Answer 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equivalent expression is ~

$\boxed{ \boxed{(x + 1)(x + 6)}}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

let's factorise ~

• ${x}^{2} + 7x + 6$

• ${x}^{2} + 6x + x + 6$

[ by using middle term split ~ ]

• $x(x + 6) + 1(x + 6)$

[ by taking common ~ ]

• $(x + 1)(x + 6)$