answer this maths question pls
Answers
Verify: (a+b)² = a² + 2ab + b²
a = 2
b = 4
substituting the values,
(2+4)² = (6)²
2² + 2(2)(4) + 4² = 36
4 + 16 + 16 = 36
4 + 32 = 36
LHS = RHS = 36
Hence verified.
a = 3
b = 1
substituting the values,
(3+1)² = (4)²
3² + 2(3)(1) + 1² = 16
9 + 6 + 1 = 16
15 + 1 = 16
LHS = RHS = 16
therefore verified.
Hope it helps!!
have a great day!
[I have attached an image above for solving it geometrically. Substitute the values in place of a and b]
The aim is to provide the identity figure wise.
let us take an square as the figure.
Divide the length into 2 parts, a and b respectively.
Divide the square into 2 squares and 2 rectangles respectively. The area of these figures summed will be the total area of the entire square.
Hence a² + ab + ab + b² = (a+b)²
Since it's a square, we have learnt that the area of a square is side × side = side².
36
Step-by-step explanation:
(a+b)²=a²+2ab+b²
(2+4)²=2²+2×2×4+4²
(2+4)²=4+16+16
(2+4)²=36