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3 years ago

Multiply out and simplify: (x-8) (x-7)

Mathematics

2 answers:

MariettaO [177]3 years ago

7 0

<h2>Answer: x² - 15x + 56</h2>

<h3>Step-by-step explanation:</h3>

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

= x² - 7x - 8x + 56

= x² - 15x + 56

Molodets [167]3 years ago

5 0

Answer: x^2-15x+56

Step-by-step explanation:

1-Distribute

x(x-7)-8(x-7)

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

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<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

8x + 5y = 18 ------- eqn 1

6x + y = -2 -------- eqn 2

Multiply eqn 2 by -5

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Add eqn 1 and eqn 3 so that y terms gets eliminated

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Divide both sides by -22

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Substitute the x value in eqn 1

$8(\frac{-14}{11}) + 5y = 18\\\\\frac{-112}{11} + 5y = 18\\\\5y = 18 + \frac{112}{11}\\\\5y = \frac{310}{11}\\\\y = \frac{62}{11}$

$\text{Thus the solution is } x = \frac{-14}{11} \text{ and } y = \frac{62}{11}$

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