The coefficient of the xy term when the expression is multiplied out
and the like terms are collected is zero
Step-by-step explanation:
There two binomials we need to multiply them
The steps of multiplying two binomials
1. Multiply the first terms
2. Multiply the second terms
3. Multiply the 1st tern in the first bracket by the 2nd term in the
second bracket
4. Multiply the 2nd tern in the first bracket by the 1st term in the
second bracket
5. Add the like terms
In (ax + by)(cx – dy)
∵ (ax)(cx) = ac x²
∵ (by)(-dy) = - bd y²
∵ (ax)(-dy) = - ad xy
∵ (by)(cx) = bc xy
- Then like terms are (- ad xy) and (bc xy) add them
∵ (- ad xy) + (bc xy) = (-ad + bc) xy
∴ The coefficient of the xy term is (-ad + bc)
∵ ad = bc
- Replace ad by bc in the bracket above
∴ The coefficient of the xy term = (-bc + bc)
∴ The coefficient of the xy term = zero
The coefficient of the xy term when the expression is multiplied out
and the like terms are collected is zero
Learn more:
you can learn more about binomials in brainly.com/question/2334388
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