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(CD - ab)^2 = (CD - ab)(CD - ab)
= c^2 d^2 - 2abcd + a^2b^2
Try it with say a = 4, b = 3, c = 2 & d = 1:
Then CD = 2 and ab = 12 so CD - ab = -10 and squared = 100
c^2 = 4
d^2 = 1 so c^2d^2 = 4 x 1 = 4
a^2 = 16
b^2 = 9 so a^2b^2 = 16 x 9 =144
2abcd = 48
giving 4 - 48 + 144 = 100. Shazam!
What else can I help you with?
What is 7x 7y as the distributive property?
To expand the expression 7x(7y) using the distributive property, you distribute the 7x to both terms inside the parentheses. This results in 7x * 7y = 49xy. The distributive property allows you to multiply each term inside the parentheses by the term outside the parentheses, simplifying the expression.
How do you distribute a negative number to expand an expression?
To distribute a negative number in an expression, you multiply the negative number by each term within the parentheses. For example, if you have -3(x + 4), you would apply the distribution by multiplying -3 by both x and 4, resulting in -3x - 12. This process helps to expand the expression by applying the negative sign to each term.
(9xcubed-3) - (4xsquared plus 4) plus (5xcubed plus 5xsquared)?
You can expand the first expression in parentheses, then add or subtract like terms.
How do you expand a linear equation?
Not quite sure what you want to expand. One thing you can do is multiply both sides of the equation by the same (non-zero) number.
How do you expand linear expressions that involve multiplication addition and subtraction?
To expand linear expressions that involve multiplication, addition, and subtraction, apply the distributive property by multiplying each term inside the parentheses by the term outside. Then, combine like terms by adding or subtracting coefficients of similar variables. For example, in the expression (a(b + c) - d), distribute (a) to both (b) and (c) to get (ab + ac - d). Finally, make sure to simplify the expression if possible by combining any like terms.
How can you change parentheses to an equation?
To change parentheses to an equation, you need to first identify the expressions within the parentheses and the relationships between them. For example, if you have an expression like ( (x + 2) ), you can create an equation by setting it equal to another expression or a number, such as ( (x + 2) = 5 ). This transforms the expression into an equation that can be solved. Additionally, if the parentheses represent a grouping in a larger expression, you may need to apply the distributive property to expand it.
What is 7x 7y as the distributive property?
To expand the expression 7x(7y) using the distributive property, you distribute the 7x to both terms inside the parentheses. This results in 7x * 7y = 49xy. The distributive property allows you to multiply each term inside the parentheses by the term outside the parentheses, simplifying the expression.
How do you distribute a negative number to expand an expression?
To distribute a negative number in an expression, you multiply the negative number by each term within the parentheses. For example, if you have -3(x + 4), you would apply the distribution by multiplying -3 by both x and 4, resulting in -3x - 12. This process helps to expand the expression by applying the negative sign to each term.
How do you expand a minus b squared?
It depends if there are parentheses or not... for example if the problem looks like this: (-b)^2, then do (-b)x(-b) and get b^2 OR if the problem looks like this: -b^2, then do -(b)(b) which would be -b^2 As u can see, the parentheses' placement make a large difference in the final answer.
(9xcubed-3) - (4xsquared plus 4) plus (5xcubed plus 5xsquared)?
You can expand the first expression in parentheses, then add or subtract like terms.
How do you expand brackets with algebra?
Same as parentheses. Brackets are used simply as a different type of parentheses, to make it easier to match the left and the right side.
Is a squared plus b squared the same as a plus b squared?
No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2
What does expand a bracket mean?
Expanding a bracket means to eliminate parentheses in a mathematical expression by distributing the terms inside the brackets to the terms outside. For example, expanding the expression (a(b + c)) involves multiplying (a) by both (b) and (c), resulting in (ab + ac). This process helps simplify expressions and make calculations easier.
Expand 3(x plus 4)?
You simply multiply the expression on the outside (in this case, 3) by each of the expressions inside the parentheses, and add everything up. In this case, 3x + 3 times 4.
How do you expand a linear equation?
Not quite sure what you want to expand. One thing you can do is multiply both sides of the equation by the same (non-zero) number.
How do you expand a expression?
Expanding" means removing the ( ) but you have to do it the right way.
How do you expand linear expressions that involve multiplication addition and subtraction?
To expand linear expressions that involve multiplication, addition, and subtraction, apply the distributive property by multiplying each term inside the parentheses by the term outside. Then, combine like terms by adding or subtracting coefficients of similar variables. For example, in the expression (a(b + c) - d), distribute (a) to both (b) and (c) to get (ab + ac - d). Finally, make sure to simplify the expression if possible by combining any like terms.
