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aliina [53]
3 years ago
8

Factor1) (5a–3b)^2–25a^22) (−2a^2+3b)^2–4a^4PLS Helppp

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

- 3b(10a - 3b)

Step-by-step explanation:

Given

(5a - 3b)² - 25a² ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

(5a - 3b)² - 25a²

= (5a - 3b)² - (5a)²

= (5a - 3b - 5a)(5a + 3b + 5a) ← simplify parenthesis

= - 3b(10a + 3b)

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Answer:

(-1\frac{1}{3}, 4\frac{3}{5})

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

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Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = m = \frac{rise}{run} = -\frac{3}{1} = -3

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

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Collect like terms

-3x - 2x = 7 - 1

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Divide both sides by -5

x = \frac{6}{-5} = -1\frac{1}{5}

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y = -3x + 1

y = -3\frac{-6}{5} + 1

y = \frac{18}{5} + 1

y = \frac{18 + 5}{5}

y = \frac{23}{5}

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✅The exact solution would be: (-1\frac{1}{3}, 4\frac{3}{5})

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3 years ago
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