Question

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Which equation is true for any value of y?
A. 4y^2+2=(4y*4y)+2
B. 4y^2+2=(4y+y)+2
C. 4y^2+2=4(y+y)+2
D. 4y^2+2= 4(y×y)+2

Answer 1

`4y^2+2=(4y\cdot4y)+2\\ 4y^2+2=16y^2+2 \leftarrow \text{not identity}\\\\ 4y^2+2=(4y+y)+2\\ 4y^2+2=5y+2 \leftarrow \text{not identity}\\\\ 4y^2+2=4(y+y)+2\\ 4y^2+2=8y+2 \leftarrow \text{not identity}\\\\ 4y^2+2=4(y\cdot y)+2\\ 4y^2+2=4y^2+2 \leftarrow \text{identity}`

So it's D.