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f(x)=(6x+2/3)(6x-2/3)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

(6x+23). (6x−23)\left(6x+\frac{2}{3}\right).\:\left(6x-\frac{2}{3}\right)

Step-by-step Solution

1

The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a−b)=a2−b2(a+b)(a-b)=a^2-b^2.

(6x)2−49\left(6x\right)^2- \frac{4}{9}
2

Multiply the fraction and term in −49- \frac{4}{9}

(6x)2−49\left(6x\right)^2-\frac{4}{9}
3

The power of a product is equal to the product of it's factors raised to the same power

62x2−496^2x^2-\frac{4}{9}
4

Calculate the power 626^2

36x2−4936x^2-\frac{4}{9}

Final answer to the exercise

36x2−4936x^2-\frac{4}{9}

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(6x+23 ). (6x−23 )
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