Simplify (4u+6)(5u^2-2u-7)

Math
(4u+6)(5u2-2u-7)
Expand (4u+6)(5u2-2u-7) by multiplying each term in the first expression by each term in the second expression.
4u(5u2)+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Simplify terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Rewrite using the commutative property of multiplication.
4⋅5(u⋅u2)+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Multiply u by u2 by adding the exponents.
Tap for more steps…
Multiply u by u2.
Tap for more steps…
Raise u to the power of 1.
4⋅5(u1u2)+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Use the power rule aman=am+n to combine exponents.
4⋅5u1+2+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
4⋅5u1+2+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Add 1 and 2.
4⋅5u3+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
4⋅5u3+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Multiply 4 by 5.
20u3+4u(-2u)+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Multiply u by u.
20u3+4⋅-2u2+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Multiply 4 by -2.
20u3-8u2+4u⋅-7+6(5u2)+6(-2u)+6⋅-7
Multiply -7 by 4.
20u3-8u2-28u+6(5u2)+6(-2u)+6⋅-7
Multiply 5 by 6.
20u3-8u2-28u+30u2+6(-2u)+6⋅-7
Multiply -2 by 6.
20u3-8u2-28u+30u2-12u+6⋅-7
Multiply 6 by -7.
20u3-8u2-28u+30u2-12u-42
20u3-8u2-28u+30u2-12u-42
Simplify by adding terms.
Tap for more steps…
Add -8u2 and 30u2.
20u3+22u2-28u-12u-42
Subtract 12u from -28u.
20u3+22u2-40u-42
20u3+22u2-40u-42
20u3+22u2-40u-42
Simplify (4u+6)(5u^2-2u-7)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top