Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Sure, let's expand and simplify the expression [tex]\((x-5)(4x+11)\)[/tex].
1. Distribute each term in the first parenthesis to every term in the second parenthesis. This means we will multiply [tex]\(x\)[/tex] by each term in [tex]\(4x + 11\)[/tex] and then [tex]\(-5\)[/tex] by each term in [tex]\(4x + 11\)[/tex].
2. First, distribute [tex]\(x\)[/tex]:
[tex]\[ x \cdot 4x = 4x^2 \][/tex]
[tex]\[ x \cdot 11 = 11x \][/tex]
3. Next, distribute [tex]\(-5\)[/tex]:
[tex]\[ -5 \cdot 4x = -20x \][/tex]
[tex]\[ -5 \cdot 11 = -55 \][/tex]
4. Combine all of these results:
[tex]\[ 4x^2 + 11x - 20x - 55 \][/tex]
5. Simplify by combining like terms ([tex]\(11x\)[/tex] and [tex]\(-20x\)[/tex]):
[tex]\[ 4x^2 + (11x - 20x) - 55 \][/tex]
[tex]\[ 4x^2 - 9x - 55 \][/tex]
So, the expanded and simplified form of [tex]\((x-5)(4x+11)\)[/tex] is:
[tex]\[ 4x^2 - 9x - 55 \][/tex]
1. Distribute each term in the first parenthesis to every term in the second parenthesis. This means we will multiply [tex]\(x\)[/tex] by each term in [tex]\(4x + 11\)[/tex] and then [tex]\(-5\)[/tex] by each term in [tex]\(4x + 11\)[/tex].
2. First, distribute [tex]\(x\)[/tex]:
[tex]\[ x \cdot 4x = 4x^2 \][/tex]
[tex]\[ x \cdot 11 = 11x \][/tex]
3. Next, distribute [tex]\(-5\)[/tex]:
[tex]\[ -5 \cdot 4x = -20x \][/tex]
[tex]\[ -5 \cdot 11 = -55 \][/tex]
4. Combine all of these results:
[tex]\[ 4x^2 + 11x - 20x - 55 \][/tex]
5. Simplify by combining like terms ([tex]\(11x\)[/tex] and [tex]\(-20x\)[/tex]):
[tex]\[ 4x^2 + (11x - 20x) - 55 \][/tex]
[tex]\[ 4x^2 - 9x - 55 \][/tex]
So, the expanded and simplified form of [tex]\((x-5)(4x+11)\)[/tex] is:
[tex]\[ 4x^2 - 9x - 55 \][/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.