Question

answer full question

Answer 1

$\huge\pink{\mathfrak{bonjour!!}}$

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$(3x + 5)(5 - 2x) \\ \\ 15x - 6 {x}^{2} + 25 - 10x \\ \\ 5x - 6 {x}^{2} + 25$

$\huge\green{\mathfrak{========================}}$

¡¡)
$(x + 3y)(3x - y) \\ \\ 3 {x}^{2} - xy + 9xy - 3 {y}^{2} \\ \\ 3 {x}^{2} - 3 {y}^{2} + 8xy$

$\huge\blue{\mathfrak{========================}}$

iii)
$( {a}^{2} + b)(a + {b}^{2} ) \\ \\ {a}^{3} + {a}^{2} {b}^{2} + ab + {b}^{3}$
$\huge\yellow{\mathfrak{========================}}$

iv)
$( {p}^{2} - {q}^{2} )(2p + q) \\ \\ 2 {p}^{3} + {p}^{2} q - 2p{q}^{2} - {q}^{3}$

$\huge\blue{\mathfrak{========================}}$

v)
$(3x + 5)( {x}^{2} - 4x - 2) \\ \\ 3 {x}^{3} - 12 {x}^{2} - 6x + 5 {x}^{2} - 20x - 10 \\ \\ 3 {x}^{3} - 7 {x}^{2} - 26x - 10$

$\huge\light{\mathfrak{========================}}$

vi)
$(3 {x}^{2} + 4x - 7)(2 {x}^{2} + 3x + 4) \\ \\ 6 {x}^{4} + 9 {x}^{3} + 12 {x}^{2} + 8 {x}^{3} + 12 {x}^{2} + 16x - 14 {x}^{2} - 21x - 28 \\ \\ 6 {x}^{4} + 17 {x}^{3} + 10 {x}^{2} - 5x - 28$

$<marquee>$
❤♥❤♥
$\huge\red{\mathfrak{merci}}$
♥❤♥❤

Answer 2

Here is your answer
$(p {}^{2} - q {}^{2} )(2p + q) \\ = 2p {}^{3} + p {}^{2} q - 2pq {}^{2} - q {}^{3} \\ (3x + 5)(x {}^{2} - 4x - 2) \\ = 3x {}^{3} - 12x {}^{2} - 6x + 5x {}^{2} - 20x - 10 \\ = 3x {}^{3} - 7x {}^{2} - 26x - 10 \\ (3x {}^{2} + 4x - 7)(2x {}^{2} + 3x + 4) \\ = 6x {}^{4} + 9x {}^{3} + 12x {}^{2} + 8x {}^{3} + 12x {}^{2} + 16x - 14x {}^{2} - 21x - 28 \\ = 6x {}^{4} + 17x {}^{3} + 10x {}^{2} - 5x - 28$
Hope it helps you