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what is the product of
1.(4-2x)(4+2x)
2.(3xy-abc)3xy+abc)
3.(x²+4y²)(x²-4y²)
4.[2+(x-1)][2-(x-1)]
i need solution please and thank you in advanced !​


Sagot :

Answer:

1. Use FOIL method

(4-2x) (4+2x)

= 4(4) + 4(2x) + (-2x) (4) + (-2x) (2x)

= 16 + 8x + (-8x) - 4x^2

= 16 + 8x change the + sign to negative sign - 8x because we have different sign - 4x^2 therefore

= 16 + 8x - 8x - 4x^2

= 16 +0 - 4x^2

= 16 - 4x^2

2. (3xy-abc) (3xy+abc)

= (3xy) (3xy) + (3xy) (abc) + (-abc) (3xy) + (-abc) (abc)

= 9x^2y^2 + 3abcxy + (-3abcxy) + (-a^2b^2c^2)

= 9x^2y^2 + 3abcxy change sign -3abcxy -a^2b^2c^2

= 9x^2y^2 + 3abcxy - 3abcxy - a^2b^2c^2

= 9x^2y^2 + 0 - a^2b^2c^2

= 9x^2y^2 - a^2b^2c^2

3. (x^2 +4y^2) (x^2 - 4y^2)

= (x^2) (x^2) + (x^2) (-4y^2) + (4y^2) (x^2) + (4y^2) (-4y^2)

= x^4 + (-4x^2y^2) + 4x^2y^2 + (-16y^4)

= x^4 change sign -4x^2y^2 +4x^2y^2 -16y^4

= x^4 -4x^2y^2 +4x^2y^2 -16y^4

= x^4 + 0 -16y^4

= x^4 - 16y^4

4. .[2+(x-1)][2-(x-1)]

=( 2 + x-1) (2 - x + 1) why naging negative? Dahil yan sa parehas silang sign na negative pag parehas always positive sign.

= (2 + x -1) ( 2 - x+1) minus or plus the coefficient

= (x + 1) ( -x + 3)

= x(-x) + x(3) + 1(-x) + 1(3)

= -x^2 + 3x - x + 3

= -x^2 + 2x + 3

Sana makatulong. Pagbutihan nyo ang pag aaral nyo