What is (y+3)(y-7)-(y+3)(y+1) ?

The solution to (y+3)(y-7)-(y+3)(y+1) is -8y-24

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simplify (y+3)(y-7)-(y+3)(y+1)

simplify

(y + 3) (y - 7) - (y + 3) (y + 1)

- 8 y - 24

Solution steps

(y + 3) (y - 7) - (y + 3) (y + 1)

Expand

(y + 3) (y - 7) : y^{2} - 4 y - 21

= y^{2} - 4 y - 21 - (y + 3) (y + 1)

Expand

- (y + 3) (y + 1) : - y^{2} - 4 y - 3

= y^{2} - 4 y - 21 - y^{2} - 4 y - 3

Group like terms

= y^{2} - y^{2} - 4 y - 4 y - 21 - 3

Add similar elements:

y^{2} - y^{2} = 0

= - 4 y - 4 y - 21 - 3

Add similar elements:

- 4 y - 4 y = - 8 y

= - 8 y - 21 - 3

Subtract the numbers:

- 21 - 3 = - 24

= - 8 y - 24

\frac{y ^{2} - 49}{y ^{2} - 14 y + 49}

93 \cdot 521

b \cdot b^{3}

b \cdot b^{2}

4 [x (2 - 5) - 2 (1 - 2 x)]