How do you factor #a^2 - 2ab +b^2# - Socratic
Mar 4, 2018 · (a - b)^2 Break down the expression into a simpler form by regrouping and putting brackets. a^2 - 2ab +b^2 a^2 - ab - ab +b^2 a(a - b) - b(a - b) (a - b) (a - b) (a - b)^2
Why does (A+B)^2 = A^2+2AB+B^2 not work for matrices?
Feb 19, 2018 · Why does #(A+B)^2 = A^2+2AB+B^2# not work for matrices? Precalculus. 1 Answer George C. Feb 19, 2018 ...
How do you factor a^2 + b^2? - Socratic
May 15, 2015 · Whereas a^2-b^2 = (a+b)(a-b) is very simple, to factor a^2+b^2 requires the use of complex numbers. If i = sqrt(-1) then (a+ib)(a-ib) =a^2+iab-iab-i^2b = a-i^2b = a^2-(-1)b^2 = a^2 + b^2 So a^2+b^2 = (a+ib)(a-ib), but there is no other factoring with real number coefficients.
If (a^2-b^2)sintheta + 2ab costheta = a^2+b^2, then what
Nov 27, 2016 · If #(a^2-b^2)sintheta + 2ab costheta = a^2+b^2#, then what will the value of #sintheta# be? Trigonometry Trigonometric Identities and Equations Proving Identities 2 Answers
Classifying reactions? - Socratic
Feb 24, 2018 · Endothermic Exothermic Endothermic Endothermic Exothermic The stronger the bond, the more the energy required to break it, similarly the stronger the bond formed, the more energy released. 1.A-B, being a strong bond requires more energy to break it then, the formation of the weak bond of AC which releases very little energy, so the reaction is relatively …
How do you solve x^2(a^2+2ab+b^2) = x(a+b) by factoring?
Aug 21, 2015 · First, notice that you can write #(a^2 + 2ab + b^2)# as the square of #(a + b)#. #a^2 + 2ab + b^2 = (a + b)^2# ...
How do you factor #a² + 2ab + b² - x² - 6x - 9#? - Socratic
May 20, 2016 · (a+b+x+3)(a+b-x-3). Use A^2-B^3=(A+B)(A-B) The expression is (a+b)^2-(x+3)^2 (a+b+x+3)(a+b-x-3). How do you find the two numbers by using the factoring method, if one number is seven more than...
If a^2 + b^2 = 4 and (a-b)^2 =2, what is the value of ab? - Socratic
Mar 30, 2018 · It follows that a^2 + b^2 = 2 + 2ab, and since we're given that a^2+ b^2 = 4, we can say 4 = 2 + 2ab. Doing a little algebra we get 4 = 2(1 + ab) 2 = 1 + ab ab = 1 Hopefully this helps! Algebra
Show that if A and B are square matrices such that AB = BA
Mar 4, 2018 · #=A^2+2AB+B^2#, as desired! Answer link. Related questions. How do I determine the molecular shape of a ...
In matrix multiplication, is (A-B)(A+B) = A^2-B^2? - Socratic
Jul 9, 2015 · No, because matrix multiplication is not commutative in general, so (A-B)(A+B) = A^2+AB-BA+B^2 is not always equal to A^2-B^2 Since matrix multiplication is not commutative in general, take any two matrices A, B such that AB != BA.