Respuesta :
Answer:
[tex]-8x^2-6x+35[/tex]
Step-by-step explanation:
Given that:
[tex](2x+5)(7-4x)[/tex]
Multiply the first term of the first expression with second expression and second term of the first expression with second expression.
we have;
[tex]2x(7-4x)+5(7-4x)[/tex]
Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex]14x-8x^2+35-20x[/tex]
Combine like terms;
[tex]-8x^2-6x+35[/tex]
therefore, quadratic expression that represents the product [tex](2x+5)(7-4x)[/tex] is, [tex]-8x^2-6x+35[/tex]