Question

Expand the following by binomial expansion :
• (a+b)⁵
• (2+x)⁷
• (101)¹⁰¹
• (1.0001)¹⁰⁰
• (a+b)³

Answer 1

Answer:

• a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

• 128 + 896$x$ + 1344$x^{2}$ + 1120$x^{3}$ + 560$x^{4}$ + 168$x^{5}$ + 14$x^{6}$ + $x^{7}$

• 2.73186196 × $10^{202}$

• 1

• $a^{3}$ + 3a²b + 3ab² + $b^{3}$

Answer 2

Hey there is your required answer @VenusVeronica..

Questions:-

• ( a + b )⁵

• ( 2 + x )⁷

• ( 101 )¹⁰¹

• ( 1.0001 )¹⁰⁰

• ( a + b )³

Answers:-

Please refer to attachment..

• It is answered by me as you can see at top/bottom, my username.

• Note:- If a term has power 3 then we will apply formula = $^{n}C_{0} × a^{n} × b⁰ + ^{n}C_{1} × a^{n - 1} × b¹ + ^{n}C_{2} × a^{n - 2} × b² + ^{n}C_{3} × a^{n - 3} × b³$

• Note:- If a term has power 5 then we will apply formula = $^{n}C_{0} × a^{n} × b⁰ + ^{n}C_{1} × a^{n - 1} × b¹ + ^{n}C_{2} × a^{n - 2} × b² + ^{n}C_{3} × a^{n - 3} × b³ + ^{n}C_{4} × a^{n - 4} × b⁴ + ^{n}C_{5} × a^{n - 5} × b⁵$.

• Note:- for power 7 = $^{n}C_{0} × a^{n} × b⁰ + ^{n}C_{1} × a^{n - 1} × b¹ + ^{n}C_{2} × a^{n - 2} × b² + ^{n}C_{3} × a^{n - 3} × b³ + ^{n}C_{4} × a^{n - 4} × b⁴ + ^{n}C_{5} × a^{n - 5} × b⁵ + ^{n}C_{6} × a^{n - 6} × b⁶ + ^{n}C_{7} × a^{n - 7} × b⁷$.

• Please note that - n refers to power value, • means multiplication.

• Note :- $^{n}C_{Base \: power} = \dfrac{n}{Base \: power \:value × ( n - Base \: power \: value )}$

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# i have done direct multiplication and addition ( hope u will understand )..

#Report above answer,, it is bad!!

#Answered by class 8th student..