Expand (x +4)3 by using the identity (a+b)3 = a3 + 3a2b +3ab2 +b3
Step 1 : (x +4)3 Here a = x, b=4
Step 2 : (x +4)3 = x3 + 3x2 x 4 + (3x) x 42 + 43(Compare and Substitute x and 4 in the place of a and b ie., a = x, b = 4 )
Step 3 : x3 + 12x2 + 48x + 64
Step 4 : The first term becomes as it is, because there is no change in the value.
Step 5 : The second term becomes 3x2 x 4 = 3 x 4x2 = 12x2 - First multiply the numbers, then we will get 12. 12 is multiplied with x2, we will get 12x2.
Step 6 : The third term is multiplied 3x x 42 = 3 x 4 x 4, here first multiply with numbers 3 x 4 x 4 = 48 and this is multiplied with x, then we will get 48x.
Step 7 : Finally 43 means 4 is multiplied by three times ie., 43= 4 x 4 x 4 = 64
Step 8: Therefore the answer is x3 + 12x2 + 48x + 64
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