expand 2 x 5 and identify each part of the expression

expand 2 x 5 and identify each part of the expression The perfect square rule is a technique used to expand expressions that are the sum or difference of two squares such as a b 2 or a b 2 The rule states that the square of the sum or difference of two terms is equal to the sum or difference of the squares of the terms plus twice the product of the terms Show more

1 Answer George C Mar 13 2018 2 X 5 32 80X 80X2 40X3 10X4 X5 Explanation The binomial theorem tells us that a b n n k 0 n k an kbk where n k n n k k The binomial coefficients we want to use are 5 0 5 1 5 2 5 3 5 4 5 5 These occur as the sixth row of Pascal s triangle Namely 1 5 10 10 5 1 Solution Answer 80x 2 80x2 40 10 32 Step 1 Expand 2 x 5 2 x 5 using the binomial theorem Step 2 Apply the binomial theorem to get 32 80x 80x 2 40x 3 10x 4 x 5 32 80x 80x2 40x3 10x4 x5 Step 3

expand 2 x 5 and identify each part of the expression

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Expand Using the Binomial Theorem 2x 5 5 2x 5 5 2 x 5 5 Use the binomial expansion theorem to find each term The binomial theorem states a b n n k 0nCk an kbk a b n k 0 n n C k a n k b k 5 k 0 5 5 k k 2x 5 k 5 k k 0 5 Math Calculus questions and answers Expand 2 x 5 and identify each part of the expression This problem has been solved You ll get a detailed solution from a subject matter expert that helps you learn core concepts See Answer Question Expand 2 x 5 and identify each part of the expression

To achieve the operations dCode uses the distributive property of multiplication over addition and subtraction The concept of distributivity is the most important for expanding a b c a b a c a b c a b a c Example a b 2 a b 2 is expanded a2 2ab b2 a 2 2 a b b 2 Solvers Algebra Expand Expression Instructions Use this Algebra calculator to expand an expression you provide showing all the relevant steps Please type in the expression you want to expand in the box below Enter the expression you want to expand Ex 2x x 3 Expanding Expressions

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2 Identify terms and factors of an expression Example 1 x 5 represents the sum of x and 5 a b represents the difference of a and b 4y represents the product of 4 and y When we refer to the difference of two numbers the Here are some examples illustrating the types of expressions you can use the expand command on and the results which QuickMath will return Basic Expression 1 x 2 Result 1 2 x x 2 Expression 2 x 3 3 Result 27 54 x 36 x 2 8 x 3 Expression a 2 b 3 4 Result a 8 4 a 6 b 3 6 a 4 b 6 4 a 2 b 9 b 12

We have already seen that we can use the distributive property to expand an expression for example 3 x 5 3x 15 3 x 5 3 x 15 We can also use the distributive property in the other direction and factor an expression for example 8x 12 4 2x 3 8 x 12 4 2 x 3 Algebra Expand Using the Binomial Theorem x 5 2 x 5 2 x 5 2 Use the binomial expansion theorem to find each term The binomial theorem states a b n n k 0nCk an kbk a b n k 0 n n C k a n k b k 2 k 0 2 2 k k x 2 k 5 k k 0 2 2 2 k k x 2 k 5 k Expand the summation

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expand 2 x 5 and identify each part of the expression - We have the right solution Expand 2 x 5 and identify each part of the expression place in each number if they are 1st terms 2nd term etc coefficient to the 4th term to the 5th term etc 80x 2 401032