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How to expand equation permit

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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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What does it mean to expand a formula?

Expanding means removing the ( ) but we have to do it the right way! ( ) are called parentheses or brackets Whatever is inside the ( ) needs to be treated as a package. So when multiplying: multiply by everything inside the package.

How do you expand an equation with exponents?

0:04 4:34 Expanding Exponents - YouTube YouTube Start of suggested clip End of suggested clip The entire expression is known as a power if we want to expand this out. What we would have to do isMoreThe entire expression is known as a power if we want to expand this out. What we would have to do is take our base and multiply it out 3 times.

How do you expand a power of 3?

0:24 2:04 Expand completely and binomial to the 3rd power - YouTube YouTube Start of suggested clip End of suggested clip So x times x squared is x cubed x times 2xy is a 2x squared y x times y squared is xy squared.MoreSo x times x squared is x cubed x times 2xy is a 2x squared y x times y squared is xy squared.

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.

What is the rule for expanding exponents?

Power Rule: When raising a power to a power, you multiply the exponents.

How do you expand and simplify exponents?

0:37 6:16 Expanding Exponents with Different Bases (Simplifying Math) - YouTube YouTube Start of suggested clip End of suggested clip From an expanded form down to exponent form so Im going to show you how that works with exponentsMoreFrom an expanded form down to exponent form so Im going to show you how that works with exponents in our next slide this is basically how it would work if. I had a squared times B squared or beats.

How do you expand exponents with variables?

1:46 3:13 How to Expand a Binomial to the Third Power Example with Variable YouTube Start of suggested clip End of suggested clip Times 3 will give us plus 3 x to the 2b. Then we go to the next one 6x to the b times x to the b isMoreTimes 3 will give us plus 3 x to the 2b. Then we go to the next one 6x to the b times x to the b is 6 x well b plus b is 2b 6x to the b. Times 3 will give us 18 x to the b.

How do you expand the polynomial?

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.

How do you expand and multiply with exponents?

15:10 25:57 Exponent Rules of Algebra (Laws of Exponents, How to Multiply Add YouTube Start of suggested clip End of suggested clip So just like that very first rule when I have the same base and everything is multiplied. I can justMoreSo just like that very first rule when I have the same base and everything is multiplied. I can just add the exponents together which is gonna be 2 plus 2 plus 2 which is gonna be 3 to the sixth.

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.

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