. Factor the following expressions completely (Show your solution) 1. 18x3 + 24x2 + 8x 2. x2 - 4y2 pa sagot pls. Created by donisq. Math

✏️Factoring expressions=================================Answer:Hey! This is the answer!1.) 2.) Step-by-step explanation:1.) First, Factor out from the expressionUse Therefore the answer is .2.)First write 4 or the number in the exponential form with an exponent of 2Multiply the terms with equal exponents by multiplying their basesUse to factor the expression.Therefore the answer is ○△□#CarryOnLearning =================================

Factor the following expressions completely (Show your solution) 1. 18x3 + 24x2 ...

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✏️Factoring expressions

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Answer:

Hey! This is the answer!

1.) $2x {(3x + 2)}^{2}$

2.) $(x - 2y)(x + 2y)$

Step-by-step explanation:

1.) ${18x}^{3} + {24x}^{2} + 8x$

First, Factor out $2x$ from the expression

${18x}^{3} + {24x}^{2} + 8x \\ ↓ \\ 2x( {9x}^{2} + 12x + 4)$

Use ${a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

${18x}^{3} + {24x}^{2} + 8x \\ ↓ \\ 2x( {9x}^{2} + 12x + 4) \\ ↓ \\ 2x {(3x + 2)}^{2}$

Therefore the answer is $\boxed{2x {(3x + 2)}^{2}}$ .

2.) ${x}^{2} - {4y}^{2}$

First write 4 or the number in the exponential form with an exponent of 2

${x}^{2} - {4y}^{2} \\ ↓ \\ {x}^{2} - {2}^{2} {y}^{2}$

Multiply the terms with equal exponents by multiplying their bases

${x}^{2} - {4y}^{2} \\ ↓ \\ {x}^{2} - {2}^{2} {y}^{2} \\ ↓ \\ {x}^{2} - {(2y)}^{2}$

Use ${a}^{2} - {b}^{2} = (a - b)(a + b)$ to factor the expression.

${x}^{2} - {4y}^{2} \\ ↓ \\ {x}^{2} - {2}^{2} {y}^{2} \\ ↓ \\ {x}^{2} - {(2y)}^{2} \\↓ \\ (x - 2y)(x + 2y)$

Therefore the answer is $\boxed{(x - 2y)(x + 2y)}$

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