Question

(x+2)³ expand it and tell the formula​

Answer 1

Step-by-step explanation:

$(x + 2) {}^{3} \\ = x {}^{3 } + 6x {}^{2} + 12x + 8$

Answer 2

Answer:

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Correct Question:

expand (x+2)³

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Your Answer:

The standard Formula of finding the cube of sum of two variables is

• (x+y)³=x³+y³+3xy(x+y)

So,

(x+2)³

= x³ + 2³ + 3(x)(2)(x+2)

= x³ + 8 + 6x(x+2)

= x³ + 8 + 6x² +12x

= x³ + 6x² + 12x + 8

So, the expanded form of (x+2)³ is x³+6x²+12x+8

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Additional:

The another Formula two find the cube of sum of two variable is

• (x+y)³=x³+y³+3x²y+3xy²

Some, other formulas are

• (x+y)²=x²+y²+2xy
• (x-y)²= x²+y²-2xy
• (x+a)(x+b)= x²+(a+b)x+ab
• x³+y³=(x+y)(x²+y²-xy)
• x³-y³=(x-y)(x²+y²+xy)

Concept used:-

• Multiplication of numbers
• Addition of Numbers
• Cubing of Number
• Opening of Brackets
• Algebraic Identities