Solve 7(3+5y)^2-2y^3)

$$7 ( 3 + 5 y ) ^ { 2 } - 2 y ^ { 3 } )$$

Evaluate

$$-2y^{3}+7\left(5y+3\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+5y\right)^{2}.

$$7\left(9+30y+25y^{2}\right)-2y^{3}$$

Use the distributive property to multiply 7 by 9+30y+25y^{2}.

$$63+210y+175y^{2}-2y^{3}$$

Expand

$$63+210y+175y^{2}-2y^{3}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+5y\right)^{2}.

$$7\left(9+30y+25y^{2}\right)-2y^{3}$$

Use the distributive property to multiply 7 by 9+30y+25y^{2}.

$$63+210y+175y^{2}-2y^{3}$$