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4 years ago

Question 1 of 25

Mathematics

1 answer:

VladimirAG [237]4 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

The given equation is as follows :

4(3x - 6) = 24

If we want to solve the above equation, the steps are:

Using distributive property first as:

4(3x)-4(6)=24

12x-24=24

Adding 24 both sides,

12x-24+24=24+24

12x=48

x=4

So, the value of x = 4. All given steps are correct.

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Fourth option: $(y^2 - xy)(y^2 + xy)$

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Using Distributive Property for the other options, we get:

$3.\ (3 + xz)(-3 + xz)=(3)(-3)+(3)(xz)+(xz)(-3)+(xz)(xz)=\\\\=-9+3xz-3xz+x^2z^2=x^2z^2-9=(xz)^2-(3)^2$

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$4.\ (y^2 - xy)(y^2 + xy)=(y^2)(y^2)+(y^2)(xy)-(xy)(y^2)-(xy)(xy)=\\\\=y^4+xy^3-xy^3-x^2y^2=y^4-x^2y^2=(y^2)^2-(xy)^2$

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$5.\ (25x - 7y)(-7y + 25x)=(25x - 7y)(25x - 7y)$

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$6.\ (64y^2 + x^2)(-x^2 + 64y^2)=(64y^2 + x^2)(64y^2 - x^2)=\\\\=(64y^2)(-x^2)+(64y^2)(64y^2)+(x^2)(-x^2)+(x^2)(64y^2)=\\\\=-64y^2x^2+4096y^4-x^4+64y^2x^2=\\\\=4096y^4-x^4=(64y^2)^2-(x^2)^2$

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