Question

Write an equivalent expression in standard form for
(62 – 3)(8z +9) – 13(45 – 7z - z² )

Answer 1

The student seeks to express the algebraic formula (62 – 3)(8z +9) – 13(45 – 7z - z²) in standard form. This requires expanding the binomials, distributing terms, and combining like terms to simplify the expression.

Step-by-step explanation:

The student is asking to write an equivalent expression in standard form for the given algebraic expression (62 – 3)(8z +9) – 13(45 – 7z - z² ). We will expand and simplify this expression step by step.

1. Multiply the binomials (62 - 3) with (8z + 9) to get 496z + 558.
2. Expand 13(45 - 7z - z²) to get 585 - 91z - 13z².
3. Subtract the expanded form of 13(45 - 7z - z²) from 496z + 558 to combine like terms.

The result is an equivalent expression in standard form.