Use the method above to find the product of: 2.2.1 (x+4)(x+10) 2.2.2 (x+9)(x-2)

Mathematics
Use the method above to find the product of: 2.2.1 (x+4)(x+10) 2.2.2 (x+9)(x-2)

ScanSolve AI Answer

Answer

x2+14x+40x^2 + 14x + 40

here are the solutions for 2.2.1 and 2.2.2 using the method provided:

2.2.1 (x+4)(x+10)(x+4)(x+10)

Step 1: Write the second bracket twice. (x+10)(x+10)(x+10) \quad (x+10)

Step 2: Distribute the first bracket over the expression. x(x+10)+4(x+10)x(x+10) + 4(x+10)

Step 3: Remove the brackets. x2+10x+4x+40x^2 + 10x + 4x + 40

Step 4: Simplify. x2+14x+40x^2 + 14x + 40 The product is x2+14x+40\boxed{x^2 + 14x + 40}.

2.2.2 (x+9)(x−2)(x+9)(x-2)

Step 1: Write the second bracket twice. (x−2)(x−2)(x-2) \quad (x-2)

Step 2: Distribute the first bracket over the expression. x(x−2)+9(x−2)x(x-2) + 9(x-2)

Step 3: Remove the brackets. x2−2x+9x−18x^2 - 2x + 9x - 18

Step 4: Simplify. x2+7x−18x^2 + 7x - 18 The product is x2+7x−18\boxed{x^2 + 7x - 18}.

What's next? Send 'em!

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QCalculate the total area of the small square pieces needed to cover the entire outside of the box.Qwhat is a10%times 10QUse the 3D sketch and the given specifications to fill in all the missing dimensions of the edges of…QThabiso places 6 cylinders on the three cuboids as shown. The first row of cylinders leaves an equal…QPule has 3 identical cuboids, each has length / cm and width w cm. The distance around the base of t…
See all Mathematics questions →

Still have questions?

Quick Answer

2.2.1 (x+4)(x+10) Step 1: Write the second bracket twice. (x+10) (x+10) Step 2: Distribute the first bracket over the expression.

Use the method above to find the product of: 2.2.1 (x+4)(x+10) 2.2.2 (x+9)(x-2)
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
here are the solutions for 2.2.1 and 2.2.2 using the method provided: 2.2.1 (x+4)(x+10) Step 1: Write the second bracket twice. (x+10) (x+10) Step 2: Distribute the first bracket over the expression. x(x+10) + 4(x+10) Step 3: Remove the brackets. x^2 + 10x + 4x + 40 Step 4: Simplify. x^2 + 14x + 40 The product is x^2 + 14x + 40. 2.2.2 (x+9)(x-2) Step 1: Write the second bracket twice. (x-2) (x-2) Step 2: Distribute the first bracket over the expression. x(x-2) + 9(x-2) Step 3: Remove the brackets. x^2 - 2x + 9x - 18 Step 4: Simplify. x^2 + 7x - 18 The product is x^2 + 7x - 18. What's next? Send 'em!