Advertisements
Advertisements
Question
The value of (a + b)2 – (a – b)2 is ______.
Options
4ab
– 4ab
2a2 + 2b2
2a2 – 2b2
Advertisements
Solution
The value of (a + b)2 – (a – b)2 is 4ab.
Explanation:
We have,
(a + b)2 – (a – b)2 = a2 + b2 + 2ab – (a2 + b2 – 2ab) ...[∵ (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab]
= a2 + b2 + 2ab – a2 – b2 + 2ab
= a2 – a2 + b2 – b2 + 2ab + 2ab
= 2ab + 2ab ...[Combining the like terms]
= 4ab
APPEARS IN
RELATED QUESTIONS
Identify the terms, their coefficients for the following expressions.
0.3a − 0.6ab + 0.5b
Identify the numerical coefficient of term (other than constant) in the following expression:
5 − 3t2
In -5x3y2z4 ; write the coefficient of -5xy2z. Also, write the degree of the given algebraic expression.
Add : - 3a + 2b and 3a + b
Subtract the second expression from the first:
2a + b, a + b
Simplify: 5b – {6a + (8 – b – a)}
Find the numerical co-efficient of the following term:
– x
The coefficient of leading term of the expression 3z2y + 2x – 3 is _________
An irreducible factor of 24x2y2 is ______.
Identify the numerical coefficient of term (other than constant) in the following expression:
1 + t + t2 + t3
