Question

multiply the polynomials. 4(2y + 5z)(3y + 2z) =

Explanation:

Step1: Use FOIL on $(2y + 5z)(3y + 2z)$

$(2y+5z)(3y + 2z)=2y\times3y+2y\times2z+5z\times3y+5z\times2z=6y^{2}+4yz + 15yz+10z^{2}=6y^{2}+19yz + 10z^{2}$

Step2: Multiply the result by 4

$4(6y^{2}+19yz + 10z^{2})=4\times6y^{2}+4\times19yz+4\times10z^{2}=24y^{2}+76yz + 40z^{2}$

Answer:

$24y^{2}+76yz + 40z^{2}$