Question

Factor completely 49x^2-81

Answer 1

Assignment:
`\bold{Factor \ Equation: \ 49x^2-81}`

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Answer:
`\boxed{\bold{\left(7x+9\right)\left(7x-9\right)}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Rewrite
`\bold{49x^2-81}`

`\bold{\left(7x\right)^2-9^2}`

[ Step Two ] Rewrite Equation

`\bold{\left(7x\right)^2-9^2}`

[ Step Three ] Apply Difference Of Two Squares Formula

Note:
`\bold{Difference \ Of \ Two \ Squares \ Formula: \ x^2-y^2=\left(x+y\right)\left(x-y\right)}`

`\bold{\left(7x\right)^2-9^2=\left(7x+9\right)\left(7x-9\right)}`

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`\bold{\left(7x+9\right)\left(7x-9\right)}`

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`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

The binomial can be factored using the difference of squares formula a2−b2=(a+b)(a−b)

where a=7x and b=9

.

(7x+9)(7x−9)