Webb19 juli 2015 · Factor and cancel matching factors to find: a3 − b3 3a2 + 9ab +6b2 ⋅ a2 + 2ab +b2 a2 −b2 = a2 + ab + b2 3(a + 2b) Explanation: Use difference of cubes identity: a3 −b3 = (a −b)(a2 + ab + b2) Use difference of squares identity: a2 −b2 = (a −b)(a +b) a3 − b3 3a2 + 9ab +6b2 ⋅ a2 + 2ab +b2 a2 −b2 WebbThe a^2 - b^2 formula is also known as "the difference of squares formula". It is used to find the difference between the two squares without actually calculating the squares. Understand a square minus b square formula with derivation, examples, and FAQs.
Algebraic proof (a+b)(a-b) formula identity - Math Doubts
WebbThe two conditions of ( a + b) ( a − b) formula are satisfied. So, we can use the formula for simplifying given algebraic expression. Take a = 3 p and b = 4 q and substitute them in the a + b times a − b formula. ( a + b) ( a − b) = a 2 − b 2 ( 3 p + 4 q) ( 3 p − 4 q) = ( 3 p) 2 − ( 4 q) 2 ∴ ( 3 p + 4 q) ( 3 p − 4 q) = 9 p 2 − 16 q 2 WebbSimplify (a+b) (a^2-ab+b^2) (a + b) (a2 − ab + b2) ( a + b) ( a 2 - a b + b 2) Expand (a+b)(a2 −ab+b2) ( a + b) ( a 2 - a b + b 2) by multiplying each term in the first expression by each … how do noctilucent clouds form
Simplify (a+b)^2-(a-b)^2 Mathway
WebbSimplify 3(a+b)-3(a-b) Step 1. Simplify each term. Tap for more steps... Step 1.1. Apply the distributive property. Step 1.2. Apply the distributive property. Step 1.3. Multiply by . Step … WebbCalculus questions and answers. Evaluate each expression for a=7,b=4, and c=-3. 26. 3a-5b 27. 2a-7b-8c 28. a^ (2)-b^ (2)+c^ (2) 29. ab-6b+9c Simplify. 30. 2x+3y+5x+6y 31. 7-3a+5a+15 32. a+b+5+8a-7b+2 33. 3c-5d+8e-2e+6c-11d 34. 15x^ (2)-17x^ (2) 35. -18y^ (3)+13y^ (3) 36. 2ab+5ab-19a 37. fg-5fg-g+3f. Question: Evaluate each expression for … Webb=6×5×4×3×2×1/3×2×1 =720/6. P=120. 28. simplify 6(a+b)+2-(6a+2) The answer is 6b 6a+6b+2-6a-2, combine like terms 6b is the answer 29. Simplify: (2×(3+6)-3×(4-2)÷(6÷2) … how do nod smart rings work