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Product of binomials with common term Calculator

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Example
Created on 2024-06-20Asked by James Wilson (Solvelet student)
Find the product of (x+3) (x + 3) and (x2) (x - 2) with a common term x x .

Solution

To find the product of (x+3) (x + 3) and (x2) (x - 2) with a common term x x : 1. Expand the expression using the distributive property: (x+3)(x2)=xx2x+3x6=x2+x6. \begin{aligned} (x + 3)(x - 2) &= x \cdot x - 2x + 3x - 6 \\ &= x^2 + x - 6. \end{aligned} Therefore, the product is x2+x6 x^2 + x - 6 . Solved on Solvelet with Basic AI Model
Some of the related questions asked by Jacob Gonzalez on Solvelet
1. Expand the expression (x+3)(x2)(x1)(x+3) (x + 3)(x - 2) - (x - 1)(x + 3) .2. Simplify the expression (a+b)(ab)(ab)(a+b)(a + b)(a - b) - (a - b)(a + b).
Definitionproduct of binomials that share a term in common using the distributive property. The above left me with the result that for (a+b)(a+c) = a2+a(c+b)+bc. Example: (x+2)(x+3)=x2+5x+6.
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