Question

5. (x-4)(5x-3) 6. (2a-1,5b)(4a+10b) 7. (a-5q)(a+5q) 8. (4n+0,3m)(0,3m+4n)

Answer 1

легко, но сложно ахажаэ

Answer 2

It looks like you've provided a list of algebraic expressions, and it seems you want to simplify each of them. Let's simplify each expression one by one:

5. (x - 4)(5x - 3)

To simplify this expression, you can use the distributive property (FOIL method):

(x - 4)(5x - 3) = x(5x) - x(3) - 4(5x) + 4(3)

Now, multiply each term:

5x^2 - 3x - 20x + 12

Combine like terms:

5x^2 - 23x + 12

So, the simplified expression is 5x^2 - 23x + 12.

6. (2a - 1.5b)(4a + 10b)

Again, use the distributive property:

(2a - 1.5b)(4a + 10b) = (2a)(4a) + (2a)(10b) - (1.5b)(4a) - (1.5b)(10b)

Now, multiply each term:

8a^2 + 20ab - 6ab - 15b^2

Combine like terms:

8a^2 + (20ab - 6ab) - 15b^2

Simplify the middle terms:

8a^2 + 14ab - 15b^2

So, the simplified expression is 8a^2 + 14ab - 15b^2.

7. (a - 5q)(a + 5q)

Use the difference of squares formula to simplify this expression:

(a - 5q)(a + 5q) = a^2 - (5q)^2

Now, calculate (5q)^2:

a^2 - 25q^2

So, the simplified expression is a^2 - 25q^2.

8. (4n + 0.3m)(0.3m + 4n)

Once again, use the distributive property:

(4n + 0.3m)(0.3m + 4n) = (4n)(0.3m) + (4n)(4n) + (0.3m)(0.3m) + (0.3m)(4n)

Now, multiply each term:

1.2mn + 16n^2 + 0.09m^2 + 1.2mn

Combine like terms:

2.4mn + 16n^2 + 0.09m^2

So, the simplified expression is 2.4mn + 16n^2 + 0.09m^2.