can you explain these terms using words?

Question

2 is squared
3 is cubed

(a-b)2=
(a+b)2=
(a-b)3=
(a+b)3=

Answer 1

The square of the difference of a and b
The square of the sum of a and b
The cube of the difference: a minus b
The cube of the sum of a and b

note that in the square of the difference, the order of a and b is immaterial: (a-b)² = (b-a)².
In the cube, this is not the case, so you must specify a minus b

Answer 2

(a-b)^2 is read as "square the difference of two numbers, a and b"

(a +b)^2 means " square the sum of two numbers, a and b"

(a-b)^3 can be expalined as " cube the difference of a and b"

and

(a+b)^3 is read as " cube the sum of numbers a and b".

For addition (+),you can also use the words:
total of a and b,
a plus b,
a increased by b,
a added to b.

For subtraction (-)use also:
the difference between a and b,
a diminished by b,
a decreased by b,
a minus b,
a less b,
b less than a.

Hope this will help you. God bless....

Answer 3

(a - b)2 = a minus b whole squared
(a + b)2 = a plus b whole squared
(a - b)3 = a minus b whole cubed
(a + b)3 = a plus b whole cubed

Answer 4

It is actually read like this:

The quantity a minus b, squared equals
The quantity a plus b, squared equals
The quantity a minus b, cubed equals
The quantity a plus b, cubed equals

Answer 5

(a-b)^2 (2 squared) is (a-b)times (a-b), so you foil; firsts: a*a =a^2 , outers:a * -b = -ab, inners; a *-b = -ab, and lasts: -b*-b = +b^2. Now combine like terms: a^2-2ab +b^2!
Cubing is (a-b)*(a-b)*(a-b), so the first step is to foil and of course you get (a^2-2ab+b^2), multiply that by (a-b):
a * a^2 =a^3, a*-2ab =-2a^2b, a*b^2 = ab^2;
-b *a^2 =-a^2b, -b*-2ab= -2ab^2, -b*b^2 =-b^3; now combine like terms paying attention to signs:
a^3 - 3a^2b - ab^2 - b^3, Your turn!

Answer 6

2 is squared - this means that you multiply two by itself or two times two

3 is cubed - this means that you multiply three by itself, and then that result by two again or three times three times three

(a-b)2 = this means that you subtract a number b from another number a, and then multiply that difference by two

(a+b)2 = the same as the above except you add the two numbers first and then multiply that sum by two

(a-b)3 = see above but substitute three for two
(a+b)3 = see above...

Hope this helps...

Answer 7

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Answer 8

The square of the difference of two terms is equal to the square of the first term minus twice the product of the two terms plus the square of the second term

The square of the sum of two terms is equal the square of the first term plus twice the product of the two terms plus the square of the second term.

The cube of the difference of two terms is equal to the cube of the first termminus three times the square of the first term times the second term plus three times the first term times the square of the second term minus the cube of thethird term

The cube of the difference of two terms is equal to the cube of the first term minus three times the square of the first term times the second term plus three times the first term times the square of the second term minus the cube of thethird term

The cube of the sum of two terms is equal to the cube of the first term plus three times the square of the first term times the second term plus three times the first term times the square of the second term plus the cube of thethird term

Answer 9

(a-b)2 is just like 2 (a-b)'s. So (a-b)(a-b). (a+b) is the same. (a-b)3 is just like 3 (a-b)'s. (a-b)(a-b)(a-b). The same with (ab)3

Answer 10

You mean, as in "square of a difference"?