expansions (4a+3b)whole square -(4a-3b)+48ab
Answers
Answer :
(4a+3b)²-(4a-3b)²+48ab = ((4a+3b) + (4a-3b)
= (4aa+3b) - (4a-3b) + 48ab
= (8a ) (6b) + 48ab
= 48ab + 48ab
= 96ab
Answer:
Given : (4a+3b)² - (4a-3b)² + 48ab
To find : Evaluate (4a+3b)² - (4a-3b)² + 48ab
Solution:
(4a+3b)² - (4a-3b)² + 48ab
using
(x + y)² = x² + y² + 2xy
& (x - y)² = x² + y² - 2xy
x = 4a
y = 3b
= (4a)²+ (3b)² + 2(4a)(3b) - ( (4a)²+ (3b)² - 2(4a)(3b)) + 48ab
= 24ab + 24ab + 48ab
= 96ab
=> (4a+3b)² - (4a-3b)² + 48ab = 96ab
another method
use x² - y² = (x + y)(x - y)
x = 4a + 3b & y = 4a - 3b
= (4a + 3b + 4a - 3b)(4a + 3b - 4a + 3b) + 48ab
= (8a)(6b) + 48ab
= 48ab + 48ab
= 96ab
(4a+3b)² - (4a-3b)² + 48ab = 96ab
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