What is expand (y^2+3y+7)(8y^2+y+1) ?

The solution to expand (y^2+3y+7)(8y^2+y+1) is 8y^4+25y^3+60y^2+10y+7

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expand (y^2+3y+7)(8y^2+y+1)

expand

(y^{2} + 3 y + 7) (8 y^{2} + y + 1)

8 y^{4} + 25 y^{3} + 60 y^{2} + 10 y + 7

Solution steps

(y^{2} + 3 y + 7) (8 y^{2} + y + 1)

Distribute parentheses

= y^{2} \cdot 8 y^{2} + y^{2} y + y^{2} \cdot 1 + 3 y \cdot 8 y^{2} + 3 yy + 3 y \cdot 1 + 7 \cdot 8 y^{2} + 7 y + 7 \cdot 1

Simplify

y^{2} \cdot 8 y^{2} + y^{2} y + y^{2} \cdot 1 + 3 y \cdot 8 y^{2} + 3 yy + 3 y \cdot 1 + 7 \cdot 8 y^{2} + 7 y + 7 \cdot 1 : 8 y^{4} + 25 y^{3} + 60 y^{2} + 10 y + 7

= 8 y^{4} + 25 y^{3} + 60 y^{2} + 10 y + 7

(x - 1) (x + 3) (x - 2)

ln (e^{5}) - ln (e^{2})

(- 3 x) (- 5 x)

(u - 3)^{2}

\frac{- 27 x ^{3} ( - x ^{7} )}{16 x ^{4}}

What is expand (y^2+3y+7)(8y^2+y+1) ?
The solution to expand (y^2+3y+7)(8y^2+y+1) is 8y^4+25y^3+60y^2+10y+7