Question

1) (x + y)(a - b); 2) (a² – b²)(a+b);3) (a - b + c)(a -c);4) (a - 3)(a - 2) - (a-1)(a - 4) хелб ми плес.​

Answer 1

Ответ:

Объяснение:

1) (x + y)(a - b)=ха=хб+уа-уб

2) (a² – b²)(a+b)=а³+а²б-аб²-б³

3) (a - b + c)(a -c)=а²-ас-ба+бс+ас-с²

4) (a - 3)(a - 2) - (a-1)(a - 4)=а²-2а-3а+6-а²+4а+а-4=2-а

Answer 2

Sure! Let's simplify each expression step by step:

1. (x + y)(a - b): To simplify this expression, we'll use the distributive property, which states that (a + b)(c + d) = ac + ad + bc + bd.

So, applying the distributive property here, we have: (x + y)(a - b) = x(a - b) + y(a - b)

Expanding further: = xa - xb + ya - yb

Combining like terms: = xa + ya - xb - yb

Therefore, the simplified form is: xa + ya - xb - yb.

2. (a² – b²)(a + b): This expression is in the form of a difference of squares, which can be factored using the identity a² - b² = (a + b)(a - b).

Applying the identity, we have: (a² – b²)(a + b) = (a + b)(a - b)(a + b)

Expanding further: = (a + b)²(a - b)

Therefore, the simplified form is: (a + b)²(a - b).

3. (a - b + c)(a - c): To simplify this expression, we'll use the distributive property again.

Using the distributive property, we have: (a - b + c)(a - c) = (a)(a - c) - (b)(a - c) + (c)(a - c)

Expanding further: = a² - ac - ba + bc + ca - c²

Rearranging terms: = a² - (ac + ba) + (bc + ca) - c²

Combining like terms: = a² - ac - ab + bc + ca - c²

Therefore, the simplified form is: a² - ac - ab + bc + ca - c².

4. (a - 3)(a - 2) - (a - 1)(a - 4): Let's expand and simplify this expression step by step.

Expanding the expression: = (a)(a - 2) - 3(a - 2) - (a)(a - 4) + 1(a - 4)

Expanding further: = a² - 2a - 3a + 6 - a² + 4a - a + 4

Combining like terms: = -2a - 3a + 4a - a + 6 + 4

Simplifying further: = -2a - 3a + 4a - a + 10

Combining like terms again: = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10 = -2a - 3a + 4a - a + 10

Therefore, the simplified form is: -2a - 3a + 4a - a + 10.