Question

Factorise fully - 4x² - 16x

Answer 1

Answer: 4x(x - 4)

Explanation:

4x² - 16x = 4x(x - 4)

Now we can see that the expression inside the parentheses can also be factored:

x - 4 = (x - 4)

So the fully factorized expression is:

4x² - 16x = 4x(x - 4) = 4x(x - 4)

Answer 2

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- 4x( x + 4 )

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Explanation:

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`\large{\pmb{\sf{ - 4x^(2) - 16x}}}`

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`\large{\underline{\underline{\sf{Taking \: Out \: {\green{4}} \: As \: Common:-}}}}`

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`\large{\pmb{\sf{\leadsto{- 4(x^(2) + 4x)}}}}`

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`\large{\underline{\underline{\sf{Taking \: Out \: {\green{x}} \: As \: Common:-}}}}`

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`\large{\purple{\boxed{\pmb{\sf{\leadsto{- 4x(x + 4)}}}}}}`

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`\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star`

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`\large{\dashrightarrow}` Two positive always makes positive sign when multiplied.

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`\large{\dashrightarrow}` Two negatives always makes positive sign when multiplied.

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`\large{\dashrightarrow}` A positive and a negative always makes negative sign when multiplied.

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`\large{\dashrightarrow}` The sum of two positives is always positive with a positive sign.

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`\large{\dashrightarrow}` The sum of two negatives is always positive with a negative sign.

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`\large{\dashrightarrow}` The sum of a positive and a negative is always negative with the sign of whose number is greater.