Algebraic Identity 4

Q.

If a + b + c = 0, then $a^2$ + $b^2$ + $c^2$ is -

1. –4(ab + bc + ca)

2. –2(ab + bc + ca)

3. 0

4. 2 – 2bc

Q. Simplify: $(a+b+c)(a+b-c)$

1. $a^2+b^2-c^2-2ab$
2. $a^2-b^2-c^2+2ab$
3. $a^2+b^2-c^2+2ab$
4. $a^2+b^2+c^2+2ab$

Q. Evaluate:
$(4pq+3q{)}^2-(4pq-3q{)}^2$

1. $48p^{2}q$
2. $48p{q}^2$
3. $48p^2{q}^2$
4. $48pq$

Q. Expand the following, using suitable identity.
$(a+2b+4c{)}^2$

Q.

Evaluate $(2+3+4{)}^2$ using identities

1. 81

2. 82

3. 83

4. 90

Q. Expand the following, using suitable identity.
$(2a-3b-c{)}^2$