factorise: (x+y+z)² - (x-y-z)² + 4y² - 4z²
Answers
Answered by
0
Answer:
Given equations are x² + y² + z² = 525
xy + yz + zx = 50
Per algebraic identity.
(x + y + z )² = x² + y² + z² + 2xy + 2yz + 2zx
(x + y + z )² = x² + y² + z² + 2(xy+yz+zx)
= 525+2(50)
= 625
x+y+z = √625
= ±25
After squareroot will be cancelled , the number become ±25.
( x + y + z )² = x² + y² + z² + 2xy +2yz +2zx
( ±25 )² = 525 + 2( 50 )
625 = 525 + 100
625 = 625
L.H.S = R.H.S.
So , the answer is ' ±25 any problems please ask me anything regarding this ❓
Answered by
1
Answer:
PLS make my answer brilliant PLS
Step-by-step explanation:
(x + 4)(x + 10)
= x² + (4 + 10)x + 4 x 10 [(x + a)(x + b) = x² + (a + b)x + ab]
= x² + 14x + 40
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