Can someone help me solve 14 step by step like how to figure out the answer, the answer is A I just don't know how to do it?

Mathematics

1 answer:

creativ13 [48]2 years ago

5 0

Multiply by 6 A F+10=6G
bring the 10 on the other side A F=6G-10
divide by A F=(6G-10)/A

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Help please! 13 points! :) Kerry bought a pair of athletic shoes for $45. She also bought a pair of colorful shoelaces for the s

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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x