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Use the Binomial Theorem and Pascal’s Triangle to write each binomial expansion. (X +4)2 HELP IN...
4 months ago
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