Fill in the missing values:
(?−?)(8y−7)=8xy−32y−7x+28
To solve this problem, we will expand the left-hand expression and set it equal to the right-hand side.
Let's rewrite the expression: (x−4)(8y−7).
- We begin by expanding the left-hand side using the distributive property:
(x−4)(8y−7)=x(8y−7)−4(8y−7).
- Further expand each component:
x(8y−7)=8xy−7x and −4(8y−7)=−32y+28.
- Combine to form:
8xy−7x−32y+28.
We compare this with the right-hand side of the original equation, 8xy−32y−7x+28.
The expressions match perfectly upon comparative structuring.
Hence, the missing expression in (x−4) confirms accurate factorization.
Thus, the missing values that satisfy the equation are x−4.
Therefore, the missing values are (−4,x) or equivalently x,−4.
(−4,x) x,−4