Question

Simplify or factor each expression and then match the equivalent expressions

Answer 1

Answer:

Step-by-step explanation:

1.  $4(2x^{2}+3y^{2})^{2}$

=$4(4x^{4}+9y^{4}+12x^{2}y^{2})$

= $16x^{4}+36y^{4}+48x^{2}y^{2}$

2.  $4(2x^{2}+3y^{2})(2x^{2}-3y^{2})$

=$4((2x^{2})^{2}-(3y^{2})^{2})$

=$4(4x^{4}-9y^{4})$

= $16x^{4}-36y^{4}$

3.  $(4x-5)(16x^{2}+20x+25)$

=$64x^{3}-80x^{2}+80x^{2}-100x+100x-125$

= $64x^{3}-125$