Answer:
(A), (C) and (D)
Step-by-step explanation:
The given expression is:
[tex](4x+5)(-3x-1)[/tex]
which can be simplified as:
=[tex]-12x^2-15x-4x-5[/tex]
=[tex]-12x^2-19x-5[/tex]
which is the required simplified expression.
(A) The expression is:
[tex](-16x^2+10x-3)+(4x^2-29x-2)[/tex]
=[tex]-16x^2+10x-3+4x^2-29x-2[/tex]
=[tex]-12x^2-19x-5[/tex]
which is equivalent to the given expression, thus this option is correct.
(B) The expression is:
[tex]3(x-5)-2(6x^2+9x+5)[/tex]
=[tex]3x-15-12x^2-18x-10[/tex]
=[tex]-12x^2-15x-25[/tex]
which is not equivalent to the given expression, thus this option is incorrect.
(C) The expression is:
[tex]2(x-1)-3(4x^2+7x+1)[/tex]
=[tex]2x-2-12x^2-21x-3[/tex]
=[tex]-12x^2-19x-5[/tex]
which is equivalent to the given expression, thus this option is correct.
(D) The expression is:
[tex](2x^2-11x-9)-(14x^2+8x-4)[/tex]
=[tex]2x^2-11x-9-14x^2-8x+4[/tex]
=[tex]-12x^2-19x-5[/tex]
which is equivalent to the given expression, thus this option is correct.
(E) The expression is:
[tex](-15x^2+9x-10)+(3x^2-10x-5)[/tex]
=[tex]-15x^2+9x-10+3x^2-10x-5[/tex]
=[tex]-12x^2-x-15[/tex]
which is not equivalent to the given expression, thus this option is incorrect
(F) The expression is:
[tex](4x^2-13x-7)-(16x^2+9x-5)[/tex]
=[tex]4x^2-13x-7-16x^2-9x+5[/tex]
=[tex]-12x^2-22x-2[/tex]
which is not equivalent to the given expression, thus this option is incorrect.
