Answer:

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Step-by-step explanation:

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Answer:

1.4x² -20xy + 25y²

Solution:

(2x - 5y)²

=(2x + -5y)(2x + -5y)

=(2x)(2x) + (2x )(-5y) + (-5y)(2x)

=4x² -10xy -10xy + 25y²

=4x² -20xy + 25y²

Answer:

2.49x² + 28xy -42xz + 4y² -12yz + 9z²

Solution:

(7x + 2y -3z)²

=(7x + 2y -3z)(7x + 2y -3z)

=(7x)(7x) + (7x)(2y) + (7x)(-3z) + (2y)(7x) + (2y)(2y) + (2y)(-3z) + (-3z)(7x) + (-3z)(2y) + (-3z)(-3z)

=49x² + 14xy -21xz + 14xy + 4y² -6yz -21xz -6yz + 9z²

=49x² + 28xy -42xz + 4y² -12yz + 9z²

Answer:

3.121m² -9n²

Solution:

(11m -3n)(11m + 3n)

= (11m + -3n)(11m + 3n)

= (11m)(11m) + (11m)(3n) + (-3n)(11m) + (-3n)(3n)

=121m² + 33mn -33mn -9n²

=121m² -9n²

Answer:

4.-8c^3 + 48c²d -96cd² + 64d^3

=(4d -2c)*(4d -2c)*(4d -2c)

=(4d + -2c)(4c² + -16cd + 16d²

=(4d)(4c²) + (4d)(-16cd) + (4d)(16d²) + (-2c)(4c²) + (-2c)(-16cd) + (-2c)(16d²)

= 16c²d -64cd² + 64d^3 -8c^3 + 32c²d -32cd²

=-8c^3 + 48c²d -96cd² + 64d^3

Answer:

5.8m^3 + 27

(2m + 3)(4m²-6m + 9)

=(2m + 3)(4m² + -6m + 9)

=(2m)(4m²) + (2m)(-6m) + (2m)(9) + (3)(4m²) + (3)(-6m) + (3)(9)

= 8m^3 -12m² + 18m + 12m² -18m + 27

= 8m^3 + 27

Step-by-step explanation:

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