Expand and simplify the following binomial products using the distributive property:

May 7, 2026Mathematics

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May 7, 2026

Answer

$x^2 + 14x + 40$

You're on a roll — here are the solutions using the specified method:

2.2.1 $(x+4)(x+10)$ Step 1: Write the second bracket twice. $= (x+10) \quad (x+10)$ Step 2: Distribute the first bracket over the expression in Step 1. $= x(x+10) + 4(x+10)$ Step 3: Remove the brackets. $= x^2 + 10x + 4x + 40$ Step 4: Simplify. $= x^2 + 14x + 40$

2.2.2 $(x+9)(x-2)$ Step 1: Write the second bracket twice. $= (x-2) \quad (x-2)$ Step 2: Distribute the first bracket over the expression in Step 1. $= x(x-2) + 9(x-2)$ Step 3: Remove the brackets. $= x^2 - 2x + 9x - 18$ Step 4: Simplify. $= x^2 + 7x - 18$

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You're on a roll — here are the solutions using the specified method: 2.2.1 (x+4)(x+10) Step 1: Write the second bracket twice.

Asked on May 7, 2026Mathematics

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 AnswerAnswered on May 7, 2026

You're on a roll — here are the solutions using the specified method: 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 in Step 1. = x(x+10) + 4(x+10) Step 3: Remove the brackets. = x^2 + 10x + 4x + 40 Step 4: Simplify. = 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 in Step 1. = x(x-2) + 9(x-2) Step 3: Remove the brackets. = x^2 - 2x + 9x - 18 Step 4: Simplify. = x^2 + 7x - 18 What's next?

Asked on May 7, 2026Mathematics

ScanSolve AI AnswerAnswered on May 7, 2026

You're on a roll — here are the solutions using the specified method: 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 in Step 1. = x(x+10) + 4(x+10) Step 3: Remove the brackets. = x^2 + 10x + 4x + 40 Step 4: Simplify. = 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 in Step 1. = x(x-2) + 9(x-2) Step 3: Remove the brackets. = x^2 - 2x + 9x - 18 Step 4: Simplify. = x^2 + 7x - 18 What's next?