(8p-4)(5p+2)
Apply the distributive property.
8p(5p+2)-4(5p+2)
Apply the distributive property.
8p(5p)+8p⋅2-4(5p+2)
Apply the distributive property.
8p(5p)+8p⋅2-4(5p)-4⋅2
8p(5p)+8p⋅2-4(5p)-4⋅2
Simplify each term.
Multiply p by p.
8⋅5p2+8p⋅2-4(5p)-4⋅2
Multiply 8 by 5.
40p2+8p⋅2-4(5p)-4⋅2
Multiply 2 by 8.
40p2+16p-4(5p)-4⋅2
Multiply 5 by -4.
40p2+16p-20p-4⋅2
Multiply -4 by 2.
40p2+16p-20p-8
40p2+16p-20p-8
Subtract 20p from 16p.
40p2-4p-8
40p2-4p-8
Simplify (8p-4)(5p+2)