Q:

Use the Binomial Theorem and Pascal’s Triangle to write each binomial expansion. (X +4)2 HELP IN NEED ASAP ):

Accepted Solution

A:
Answer:x² + 8x + 16Step-by-step explanation:You can draft the Pascal's Triangle as below;                                              Exponent                   1-----------------------0                1     1  -------------------1              1   2    1 ------------------2             1  3   3   1 -----------------3According to the question, we use values for exponent 2 because (a+b)²Given  (x+4)²...................................expandx² × 4⁰ + x¹ × 4¹+ x⁰ × 4²x² × 1 + x × 4 + 1 × 16x² + 4x + 16---------------------------------introduce values in exponential 2 of the table which are 1  2  1x² × 1 + 2 × 4x + 16 × 1⇒ x² + 8x + 16