Question

1. (х – 3)(х + 3) 2. (-а + 2)(а + 2) 3. (8а + 9с)(9с – 8а) 4. 64 – х² 5. – 9у²+ х² 6. 1,21 – х²

Answer 1

Відповідь:

(х – 3)(х + 3)=$x^{2}$-9

(-а + 2)(а + 2)=4-$a^{2}$

(8а + 9с)(9с – 8а)=81$c^{2}$-64$a^{2}$

64 – х²=(8-x)(8+x)

– 9у²+ х²=(x-3y)(x+3y)

1,21 – х²=$\frac{1}{100}$(11-10x)(11+10x)

Answer 2

Ответ:

Объяснение:

1) х²-9

2) 4-а²

3) 81с²-64а²

4)(8-х)(8+х)

5)(х-3у)(х+3у)

6) (1.1-х)(1.1+х)

Answer 3

It looks like you've provided a list of algebraic expressions. If you have specific questions about simplifying or factoring these expressions, I'd be happy to help. Let's go through each expression:

1. (x – 3)(x + 3) This is the difference of squares: (a - b)(a + b) = a² - b². So, (x - 3)(x + 3) simplifies to x² - 3² = x² - 9.

2. (-a + 2)(a + 2) This is also the difference of squares. (-a + 2)(a + 2) simplifies to -a² + 2² = -a² + 4.

3. (8a + 9c)(9c – 8a) This is the product of two binomials. You can use the distributive property (FOIL) to simplify this expression: (8a + 9c)(9c - 8a) = 8a * 9c + 8a * (-8a) + 9c * 9c + 9c * (-8a) = 72ac - 64a² + 81c² - 72ac = -64a² + 81c².

4. 64 - x² This is a difference of squares: 64 = 8² and x² = x * x. So, 64 - x² simplifies to 8² - x * x = 64 - x².

5. -9y² + x² This is already in its simplest form. It's a difference of squares if you consider y as a variable, but it's not factorable any further.

6. 1.21 - x² This is a difference of squares if you consider 1.21 as 1.1². So, 1.21 - x² simplifies to 1.1² - x² = (1.1 - x)(1.1 + x).

If you have any more specific questions about these expressions or if you'd like further explanations, feel free to ask!