Replace ∗ with a monomial so that the result is an identity:
1. (2a+*)(2a-*)=4a^2-b^2
2. (5x+*)(5x-*)=25x^2-0.16y^4
3. (*-b^4)(b^4+*)=121a^10-b^8
4. (*-3x)(*+3x)=16y^2-9x^2
5. 100m^4-4n^6=(10m^2-*)(*+10m^2)
6. m^4–225c^10 = (m^2 − *)(* +m^2)

QUESTION 1

Taking the right hand side we have;

We can rewrite this as;

We apply difference of two squares.

QUESTION 2

Taking the right hand side we have;

We can rewrite this as;

We apply difference of two squares.

QUESTION 3

Taking the right hand side of the given equation, we have;

We rewrite this as;

QUESTION 4

From the RHS;

This implies that;

QUESTION 5

From the left hand side, we have

This implies that;

Using difference of two squares, we have;

QUESTION 6

From the LHS;

We rewrite to obtain;

Using difference of two squares, we obtain;

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d