Answer:
(1)
(2x+5)²
=(2x+5)(2x+5)
=4x² + 10x + 10x + 25
=4x² + 20x + 25
(2)
(2x - 1)(4x² + 2x + 1)
=2x ( 4x² + 2x +1 ) -1 ( 4x² + 2x +1 )
=8x³ + 4x² + 2x - 4x² - 2x - 1
=8x³ - 1
(3)
(x+5)
(4)
(7x - 3)(2x + 4)
=14x² + 28x - 6x - 12
=14x² + 22x - 12
(5)
(2x - 4y)(2x + 4y)
=4x² + 8xy - 8xy - 16y²
=4x² - 16y²
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Verified answer
Answer:
(1)
(2x+5)²
=(2x+5)(2x+5)
=4x² + 10x + 10x + 25
=4x² + 20x + 25
(2)
(2x - 1)(4x² + 2x + 1)
=2x ( 4x² + 2x +1 ) -1 ( 4x² + 2x +1 )
=8x³ + 4x² + 2x - 4x² - 2x - 1
=8x³ - 1
(3)
(x+5)
(4)
(7x - 3)(2x + 4)
=14x² + 28x - 6x - 12
=14x² + 22x - 12
(5)
(2x - 4y)(2x + 4y)
=4x² + 8xy - 8xy - 16y²
=4x² - 16y²