WebAlgebra Expand Using the Binomial Theorem (3x-2y)^2 (3x − 2y)2 ( 3 x - 2 y) 2 Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n = n ∑ k=0nCk⋅(an−kbk) ( a + b) n = ∑ k = 0 n n C k ⋅ ( a n - k b k). 2 ∑ k=0 2! (2− k)!k! ⋅(3x)2−k ⋅(−2y)k ∑ k = 0 2 2! ( 2 - k)! k! ⋅ ( 3 x) 2 - k ⋅ ( - 2 y) k Expand the summation.
[Solved] Expand (3x - 2y)2 - Testbook
Webgiven, (3x+2y−z) 2=[3x+2y+(−z)] 2=(3x) 2+(2y) 2+(−z) 2+2×3x×2y+2×2y×−z+2×3x×−z=9x 2+4y 2+z 2+12xy−4yz−6xz. WebExpand (3x−2)(3x− 2) ( 3 x - 2) ( 3 x - 2) using the FOIL Method. Tap for more steps... 3x(3x)+3x⋅−2−2(3x)− 2⋅−2 3 x ( 3 x) + 3 x ⋅ - 2 - 2 ( 3 x) - 2 ⋅ - 2. Simplify and combine like terms. Tap for more steps... 9x2 − 12x+4 9 x 2 - 12 x + 4. how many cm is 57
Expand using suitable identities (x + 2y + 4z)^2 - Toppr
WebQuestion: Question 4 (a) Show that (7) + + (2) + + (n) = = 2". (3 marks) (4 marks) (b) Expand (3x – 2y)4 using the binomial theorem. What is the coefficient of r" y in the … Webexpand\:(4x^2-3)(3x+1) expand\:(x^2+3y)^3; expand-calculator. en. image/svg+xml. Related Symbolab blog posts. Middle School Math Solutions – Expand Calculator, … Free Algebraic Properties Calculator - Simplify radicals, exponents, logarithms, … To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and … factor\:2x^2+13x+15; expand\:3(x+6) expand\:2x(x-a) basic-operations … Free Decimals calculator - Add, subtract and multiply decimals step-by-step Frequently Asked Questions (FAQ) How do you divide polynomials with long … WebJul 19, 2024 · ( 3x – 2y )² = ( 3x )² + ( 2y )² – 2 ( 3x ) ( 2y ) = 9x² + 4y² – 12xy { Using Identity (a – b )² = a² – b² – 2ab } how many cm is 500 mm