Choose the correct product of (8x - 4)(8x + 4).
64x2 - 16, 64x2 + 16, 64x2 - 64x + 16, 64x2 + 64x + 16
Solution:
We will use the algebraic identity to find the correct product of (8x - 4)(8x + 4).
The equation is in the form (a + b)(a - b).
Therefore, we will use the algebraic identity
a2 - b2 = (a + b)(a - b)
Where a = 8x and b = 4
Thus, the equation (8x - 4)(8x + 4) can be written in the form of (8x)2 - (4)2.
On simplifying it we get,
(8x - 4)(8x + 4)= 64x2 - 16
Choose the correct product of (8x - 4)(8x + 4).
Summary:
Using the algebraic identity a2 - b2 = (a + b)(a - b). The correct product of (8x - 4)(8x + 4) is 64x2 - 16.
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