(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!
You can expand the first expression in parentheses, then add or subtract like terms.
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.
-4.2x - 6y + 3.6
(a + b)² = a² + b². If you expand the left side, you have a² + 2ab + b² = a² + b². Subtracting a² and b² from both sides, you have: 2ab = 0. So if either a=0 or b=0 the equation is satisfied.
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You can expand the first expression in parentheses, then add or subtract like terms.
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.
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.
No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2
Expanding" means removing the ( ) but you have to do it the right way.
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.
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.
To expand three brackets, expand and simplify two of the brackets then multiply the resulting expression by the third bracket. (FAIZAN BHAI GHAZI)CHANNEL
You can expand (x + y)2 into x2 + 2xy + y2
A gas can expand to fill the entire volume of its container because the particles are not confined and can move freely. When a gas is placed in a container, it will fill the entire space available to it.
(a-b)^2 doesn't have a numeric value since there are no numbers associated with it, but you can definitely expand it, as it represents a formula, instead of an actual numeric expression.(a-b)(a-b)= a^2-ab-ab+b^2= a^2-2ab+b^2 (which is actually the rule for expanding!)
If you're asked to simplify an expression, you need to expand all brackets if there are any, and collect all like terms. If the question is a fraction you have to give the answer in its simplest form