Respuesta :
Answer:
The expression which shows the difference of squares is [tex](16y)^{2} - (x)^{2}[/tex] .
Step-by-step explanation:
Here, the given expressions are :
[tex]1. (10y)^{2} - (4x)^{2}\\2.(16y)^{2} - (x)^{2}\\3. (8x)^{2} - (4x + 25)\\4. (64x)^{2} - (48x + 9)[/tex]
Now, DIFFERENCE of SQUARES is an expression where one perfect square term is subtracted from another perfect square term.
And each difference of square can be expanded using algebraic identity
[tex]a^{2} - b^{2} = (a-b)(a+b)[/tex]
Now, here only the terms in expression 2 are perfect squares, as
[tex](16y)^{2} = (4y)^{2} =(-4y)^{2} , (x)^{2} = (x)^{2} =(-x)^{2}[/tex]
Hence, the expression which shows the difference of squares is [tex](16y)^{2} - (x)^{2}[/tex] .
Also, here[tex](16y)^{2} - (x)^{2} = (4y-x)(4y+x)[/tex]
Answer:
B. 16y squared-x squared
Step-by-step explanation:
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