Problem

distributive property:
\[
\begin{array}{l}
3\left(y^{2}-y+6\right)-14(2 y+1) \\
=3 y^{2}-3 y+18-28 y-14 \\
=3 y^{2}-3 y-28 y+18=14
\end{array}
\]
d) $(3 x+5)^{2}$
\[
9 x^{2}+25
\]

Answer

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Answer

The simplified expression for $(3x+5)^2$ is \(\boxed{9x^2 + 30x + 25}\)

Steps

Step 1 :Expand the given expression $(3x+5)^2$ using the distributive property: $(3x+5)(3x+5) = 9x^2 + 15x + 15x + 25 = 9x^2 + 30x + 25$

Step 2 :The simplified expression for $(3x+5)^2$ is \(\boxed{9x^2 + 30x + 25}\)

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