Expand and simplify (x-5)(x+1) (A) x^(2)+6x+5 (B) x^(2)-4x-5 (C) x^(2)-6x+5

Apply FOIL method: To expand the expression (x-5)(x+1), we will use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). First: x * x = x^2 Outer: x * 1 = x Inner: -5 * x = -5x Last: -5 * 1 = -5 Now we combine these results to get the expanded form.Combine FOIL results: Combining the terms from the FOIL method, we get: x^2 + x - 5x - 5 Now we need to combine like terms, which are the x terms in this case.Combine like terms: Combining the like terms x and -5x gives us: x^2 + (1 - 5)x - 5 This simplifies to: x^2 - 4x - 5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Expand and simplify (x-5)(x+1)
(A) x^(2)+6x+5
(B) x^(2)-4x-5
(C) x^(2)-6x+5

Expand and simplify $(x-5)(x+1)$ $\newline$ (A) $x^{2}+6 x+5$ $\newline$ (B) $x^{2}-4 x-5$ $\newline$ (C) $x^{2}-6 x+5$

View step-by-step help

Home

Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

Q. Expand and simplify

(x-5)(x+1)

\newline

(A)

x^{2}+6 x+5

\newline

(B)

x^{2}-4 x-5

\newline

(C)

x^{2}-6 x+5

Apply FOIL method: To expand the expression $(x-5)(x+1)$ , we will use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). $\newline$ First: $x \times x = x^2$ $\newline$ Outer: $x \times 1 = x$ $\newline$ Inner: $-5 \times x = -5x$ $\newline$ Last: $-5 \times 1 = -5$ $\newline$ Now we combine these results to get the expanded form.
Combine FOIL results: Combining the terms from the FOIL method, we get: $\newline$ $x^2 + x - 5x - 5$ $\newline$ Now we need to combine like terms, which are the $x$ terms in this case.
Combine like terms: Combining the like terms $x$ and $-5x$ gives us: $\newline$ $x^2 + (1 - 5)x - 5$ $\newline$ This simplifies to: $\newline$ $x^2 - 4x - 5$