Answer:
(4x + 7y)(4x - 7y)
Step-by-step explanation:
Rewrite 16 as 4^2
= 4^2x^2 - 49y^2
Rewrite 49 as 7^2
= 4^2x^2 - 7^2y^2
Apply the Exponent Rule Pt 1 ((a^m*b^m =(ab)^m))
= (4x)^2 - 7^2y^2
Apply the Exponent Rule Pt 2
= (4x)^2 - (7y)^2
Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)
= (4x + 7y) (4x - 7y)
Answer:
76
Step-by-step explanation:
let the number be x
Then 16 + x/-4 = -3, so
x/-4 = -16-3 = -19 (add -16 on both sides)
x = -4*-19 = 76 (multiply by -4 on both sides)
Answer:
The number are and .
Step-by-step explanation:
Given as :
The difference between the squares of two number = 3
And , Twice the square of the first number increased by the square of the second number is 9
Now, Let The first number = F
And The second number = S
So , According to question
F² - S² = 3 .......A
2 F² - S² = 9 ........B
Now, solving the equations
( 2 F² - S² ) - ( F² - S² ) = 9 - 3
Or, ( 2 F² - F² ) + ( S² - S² ) = 6
Or, F² + 0 = 6
∴ F =
Putting the value of F in eq A
So, ( )² - S² = 3
Or, 6 - 3 = S²
Or, S² = 3
∴ S =
So, The number are ,
Hence The number are and . Answer