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How to expanding an equation

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Were asked to use the distributive property to expand this expression. So let me get my little scratch pad out. So this is the same question right over here. So were going to multiply 6 times this entire quantity. So let me just rewrite this as 6 times negative 4w plus one half. So were going to distribute the 6. So this is going to be 6 times negative 4w times 6, plus 6 times one half, so this is going to be-- let me just write it this way-- 6 times negative 4w plus 6 times one half. And this is going to be equal to 6 times negative 4w is negative 24w, and then 6 times one half is 3. So we get negative 24w plus 3. So let me write that down. Negative 24w plus 3. And lets check our answer.

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How do you expand an equation?

In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets (or multiplying out) is the process by which we remove brackets. It is the reverse process of factorisation.

Is 6 2x 3 one solution?

6-2x=3 One solution was found : x = 3/2 = 1.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

How do you expand an equation?

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression 3 ( m + 7 ) , multiply both and 7 by 3, so: 3 ( m + 7 ) = 3 m + 3 7 = 3 m + 21 .

How do you expand and simplify 6 2x 3 )- 2 2x 1?

Frequently Asked Questions (FAQ) What is expand 6(2x-3)-2(2x+1) ? The solution to expand 6(2x-3)-2(2x+1) is 8x-20.

What does it mean to expand an equation?

Expanding brackets, or multiplying out, involves multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets. Expanding brackets is often an important step in solving equations and is the opposite process to factorisation.

How do you expand and simplify in math?

In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets (or multiplying out) is the process by which we remove brackets. It is the reverse process of factorisation.

What does it mean to expand a linear expression?

Expanding an expression means removing the parenthesis or grouping symbols from it. Each expanded expression can be factored by removing the Greatest Common Factor (GCF) from each term.

How do you expand an expression example?

0:00 1:04 How to expand an expressions using the distributive property | Algebra I YouTube Start of suggested clip End of suggested clip Times negative 4w negative 4w plus one-half plus one-half so were gonna distribute the six. So thisMoreTimes negative 4w negative 4w plus one-half plus one-half so were gonna distribute the six. So this is going to be six times negative four w times six plus six times one-half.

How do you expand a function?

Expand Polynomials. A polynomial is expanded if no variable appears within parentheses and all like terms have been combined. To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations. Then combine all like terms.

What does a Expand mean in math?

Expansion is an affine transformation (sometimes called an enlargement or dilation) in which the scale is increased. It is the opposite of a geometric contraction, and is also sometimes called an enlargement. A central dilation corresponds to an expansion plus a translation.

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