Question
Simplify the expression
8g2−22gh+15h2
Evaluate
(4g−5h)(2g−3h)
Apply the distributive property
4g×2g−4g×3h−5h×2g−(−5h×3h)
Multiply the terms
More Steps

Evaluate
4g×2g
Multiply the numbers
8g×g
Multiply the terms
8g2
8g2−4g×3h−5h×2g−(−5h×3h)
Multiply the numbers
8g2−12gh−5h×2g−(−5h×3h)
Multiply the numbers
8g2−12gh−10hg−(−5h×3h)
Multiply the terms
More Steps

Evaluate
−5h×3h
Multiply the numbers
−15h×h
Multiply the terms
−15h2
8g2−12gh−10hg−(−15h2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8g2−12gh−10hg+15h2
Solution
More Steps

Evaluate
−12gh−10hg
Rewrite the expression
−12gh−10gh
Collect like terms by calculating the sum or difference of their coefficients
(−12−10)gh
Subtract the numbers
−22gh
8g2−22gh+15h2
Show Solution
