Question

1) a (x -c)+ bc-bx; 2) a (b + c)+ db + dc; 3) 3a (2b + c)+8b+4c: 4) 2x (3x – 4y) - 6x+8y. 26hy+ Oy +​

Answer 1

1) a( x- C)+ b C- b x= a( X- C)+b( C-x )= a( x- C )+ b-( X- C )= a( x- C)- b( x- C)=( x - c) ( a- b). 2) a ( b+ C)+ d b+ d C= a ( b+ C) + d ( b+ C)=( b+ C) ( a+ d).

3) 3 a ( 2 b+ C)+8 b+4 C=3 a (2 b+ C)+4( 2 b+ C)=( 2 b+ C) (3 a+4).

4) 2 x(3 x- 4 y)-6 x+8 y= 2 X (3 X-4 y)- 2 (3 x- 4 y)=(3 X-4 y) ( 2 x- 2)=(3 x-4 y)× 2( x-1)=2 (3 X-4 y) ( x-1). вот ответ.

Answer 2

It seems like you have provided several mathematical expressions, and it appears that you may want to simplify or evaluate them. Let's go through each expression one by one:

1. a(x - c) + bc - bx: To simplify this expression, we can expand the brackets and combine like terms: a(x - c) + bc - bx = ax - ac + bc - bx Now, let's group similar terms: (ax - bx) + (bc - ac) Taking out the common factors: x(a - b) + c(b - a) The simplified expression is: x(a - b) + c(b - a)

2. a(b + c) + db + dc: Again, we will expand the brackets and combine like terms: a(b + c) + db + dc = ab + ac + db + dc Grouping similar terms: (ab + db) + (ac + dc) Taking out the common factors: b(a + d) + c(a + d) The simplified expression is: b(a + d) + c(a + d)

3. 3a(2b + c) + 8b + 4c: Expanding the brackets and combining like terms: 3a(2b + c) + 8b + 4c = 6ab + 3ac + 8b + 4c Grouping similar terms: (6ab + 8b) + (3ac + 4c) Taking out the common factors: 2b(3a + 4) + c(3a + 4) The simplified expression is: 2b(3a + 4) + c(3a + 4)

4. 2x(3x - 4y) - 6x + 8y: Expanding the brackets: 2x(3x - 4y) - 6x + 8y = 6x^2 - 8xy - 6x + 8y Combining like terms: 6x^2 - 8xy - 6x + 8y The expression is already simplified, and no further simplification is possible.

Regarding the additional term "26hy + Oy," it seems to be incomplete or unclear. If you provide more information or clarify what "Oy" represents, I'll be happy to assist you further.