please help for 5c thanks
Posted: Mon Jul 11, 2022 12:45 pm
please help for 5c thanks
(5b) Let fi : DR" – H be C' for i e {1,..., k} and suppose a € W" with |a| < N. Prove that 7^(fifyfk) = a! βιβλι βιβ21-1 Σ Αν το βεν ΜΕΝΟ
(Sc) Let x₁,...,x ER" and let a € N". Use part (b) to prove that a! (x + + x) = Σ B₂! Br! PIPEN (Hint: look at the polynomial ƒ : R. → R given by f(x₁,...,x₁) = (x₁+ +x)" where x ER". Be careful manipulating indices.)
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(Sc) Let x₁,...,x ER" and let a € N". Use part (b) to prove that a! (x + + x) = Σ B₂! Br! PIPEN (Hint: look at the polynomial ƒ : R. → R given by f(x₁,...,x₁) = (x₁+ +x)" where x ER". Be careful manipulating indices.)