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2 years ago

Expand (2x + 2)(x + 4

Mathematics

2 answers:

sasho [114]2 years ago

7 0

Answer:

2x^2+10x+8

Step-by-step explanation:

(2x+2)(x+4)

=(2x+2)(x+4)

=(2x)(x)+(2x)(4)+(2)(x)+(2)(4)

=2x^2+8x+2x+8

=2x^2+10x+8

ArbitrLikvidat [17]2 years ago

7 0

Answer:

Work shown below!

Step-by-step explanation:

$(2x+2)(x+4)=2x^{2} +8x+2x+8=2x^{2} +10x+8$

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Read 2 more answers

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

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