Question

*Sanya claims that the factors of the expression "20jk − 25k − 16j + 20" are (4j − 5) and (5k − 4). Which of these should be correct for her claim to be true?*

1️⃣ 4j(4j − 5) − 5k(5k − 4) = 20jk − 25k − 16j + 20
2️⃣ 4j(5k − 4) − 5(5k − 4) = 20jk − 25k − 16j + 20
3️⃣ 4j(5k − 4) + 5(5k − 4) = 20jk − 25k − 16j + 20
4️⃣ 4j(5k − 4) − 5k(4j − 5) = 20jk − 25k − 16j + 20

Answer 1

Given : Sanya claims that the factors of the expression "20jk − 25k − 16j + 20" are (4j − 5) and (5k − 4).

To Find : Which of these should be correct for her claim to be true?*

1️⃣ 4j(4j − 5) − 5k(5k − 4) = 20jk − 25k − 16j + 20

2️⃣ 4j(5k − 4) − 5(5k − 4) = 20jk − 25k − 16j + 20

3️⃣ 4j(5k − 4) + 5(5k − 4) = 20jk − 25k − 16j + 20

4️⃣ 4j(5k − 4) − 5k(4j − 5) = 20jk − 25k − 16j + 20

Solution

the factors of the expression "20jk − 25k − 16j + 20" are (4j − 5) and (5k − 4)

=>  (4j − 5) (5k − 4) = 20jk − 25k − 16j + 20

Applying distributive property

=> 4j  (5k − 4) -  5(5k − 4) = 20jk − 25k − 16j + 20

Below is correct

2️⃣ 4j(5k − 4) − 5(5k − 4) = 20jk − 25k − 16j + 20

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