- #1
Strafespar
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Cannot figure out how to distribute this, please help :D- sorry about title should be [tex]a(y-\frac{b}{3a})^3[/tex]
Strafespar said:Cannot figure out how to distribute this, please help :D- sorry about title should be [tex]a(y-\frac{b}{3a})^3[/tex]
To simplify the expression [tex]a(y-b/3a)^3[/tex], we can use the power rule for exponents. First, we distribute the exponent of 3 to each term inside the parentheses, resulting in [tex]a(y^3 - 3y^2b/9a + b^3/27a^3)[/tex]. Then, we simplify each term by combining like terms and dividing out any common factors. The simplified expression is [tex]ay^3 - y^2b/3 + b^3/27a^2[/tex].
Yes, you can continue to simplify the expression by factoring out any common terms. For example, in the simplified expression [tex]ay^3 - y^2b/3 + b^3/27a^2[/tex], we can factor out a y to get [tex]y(ay^2 - b/3 + b^3/27a^2)[/tex].
We can also express [tex]a(y-b/3a)^3[/tex] in expanded form by multiplying out the terms inside the parentheses. This results in [tex]ay^3 - 3ay^2b/9 + ab^2/9 - b^3/27[/tex].
No, there is no specific order for simplifying the expression. However, it is important to remember the rules for exponents and to carefully distribute and combine like terms to avoid making mistakes.
Yes, you can use a calculator to simplify the expression, but it is important to make sure the calculator is set to use the correct order of operations. It is also helpful to double check the simplified expression by hand to ensure accuracy.